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Finding the Fourth Proportional to 475,781.11, 713,672.90 and 160,459.51

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Solution

The fourth proportional to 475,781.11, 713,672.90 and 160,459.51 is: 240,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,781.11 : 713,672.90 = 160,459.51 : x
  2. Step 2: Convert to fraction form
    475,781.11/713,672.90 = 160,459.51/x
  3. Step 3: Cross multiply
    475,781.11x = 713,672.90 × 160,459.51
  4. Step 4: Simplify right side
    475,781.11x = 114,515,600,265.92
  5. Step 5: Solve for x
    x = 114,515,600,265.92/475,781.11
  6. Step 6: Final answer
    x = 240,689.68

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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.