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Finding the Fourth Proportional to 664,209.40, 996,314.10 and 309,915.40

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Solution

The fourth proportional to 664,209.40, 996,314.10 and 309,915.40 is: 464,873.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,209.40 : 996,314.10 = 309,915.40 : x
  2. Step 2: Convert to fraction form
    664,209.40/996,314.10 = 309,915.40/x
  3. Step 3: Cross multiply
    664,209.40x = 996,314.10 × 309,915.40
  4. Step 4: Simplify right side
    664,209.40x = 308,773,082,827.14
  5. Step 5: Solve for x
    x = 308,773,082,827.14/664,209.40
  6. Step 6: Final answer
    x = 464,873.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.