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Finding the Fourth Proportional to 473,080.92, 709,767.18 and 283,751.52

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Solution

The fourth proportional to 473,080.92, 709,767.18 and 283,751.52 is: 425,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,080.92 : 709,767.18 = 283,751.52 : x
  2. Step 2: Convert to fraction form
    473,080.92/709,767.18 = 283,751.52/x
  3. Step 3: Cross multiply
    473,080.92x = 709,767.18 × 283,751.52
  4. Step 4: Simplify right side
    473,080.92x = 201,397,516,171.11
  5. Step 5: Solve for x
    x = 201,397,516,171.11/473,080.92
  6. Step 6: Final answer
    x = 425,714.73

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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.