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Finding the Fourth Proportional to 707,238.11, 975,310.20 and 475,189.83

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Solution

The fourth proportional to 707,238.11, 975,310.20 and 475,189.83 is: 655,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,238.11 : 975,310.20 = 475,189.83 : x
  2. Step 2: Convert to fraction form
    707,238.11/975,310.20 = 475,189.83/x
  3. Step 3: Cross multiply
    707,238.11x = 975,310.20 × 475,189.83
  4. Step 4: Simplify right side
    707,238.11x = 463,457,488,135.27
  5. Step 5: Solve for x
    x = 463,457,488,135.27/707,238.11
  6. Step 6: Final answer
    x = 655,306.15

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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.