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Finding the Fourth Proportional to 561,097.40, 842,423.70 and 442,902.20

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Solution

The fourth proportional to 561,097.40, 842,423.70 and 442,902.20 is: 664,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,097.40 : 842,423.70 = 442,902.20 : x
  2. Step 2: Convert to fraction form
    561,097.40/842,423.70 = 442,902.20/x
  3. Step 3: Cross multiply
    561,097.40x = 842,423.70 × 442,902.20
  4. Step 4: Simplify right side
    561,097.40x = 373,111,310,062.14
  5. Step 5: Solve for x
    x = 373,111,310,062.14/561,097.40
  6. Step 6: Final answer
    x = 664,967.10

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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.