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Finding the Fourth Proportional to 512,567.68, 707,296.32 and 331,285.12

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Solution

The fourth proportional to 512,567.68, 707,296.32 and 331,285.12 is: 457,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,567.68 : 707,296.32 = 331,285.12 : x
  2. Step 2: Convert to fraction form
    512,567.68/707,296.32 = 331,285.12/x
  3. Step 3: Cross multiply
    512,567.68x = 707,296.32 × 331,285.12
  4. Step 4: Simplify right side
    512,567.68x = 234,316,746,246.76
  5. Step 5: Solve for x
    x = 234,316,746,246.76/512,567.68
  6. Step 6: Final answer
    x = 457,143.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.