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Finding the Fourth Proportional to 464,429.80, 696,644.70 and 286,359.40

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Solution

The fourth proportional to 464,429.80, 696,644.70 and 286,359.40 is: 429,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,429.80 : 696,644.70 = 286,359.40 : x
  2. Step 2: Convert to fraction form
    464,429.80/696,644.70 = 286,359.40/x
  3. Step 3: Cross multiply
    464,429.80x = 696,644.70 × 286,359.40
  4. Step 4: Simplify right side
    464,429.80x = 199,490,758,305.18
  5. Step 5: Solve for x
    x = 199,490,758,305.18/464,429.80
  6. Step 6: Final answer
    x = 429,539.10

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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.