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Finding the Fourth Proportional to 521,386.93, 781,794.66 and 161,457.86

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Solution

The fourth proportional to 521,386.93, 781,794.66 and 161,457.86 is: 242,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,386.93 : 781,794.66 = 161,457.86 : x
  2. Step 2: Convert to fraction form
    521,386.93/781,794.66 = 161,457.86/x
  3. Step 3: Cross multiply
    521,386.93x = 781,794.66 × 161,457.86
  4. Step 4: Simplify right side
    521,386.93x = 126,226,895,694.76
  5. Step 5: Solve for x
    x = 126,226,895,694.76/521,386.93
  6. Step 6: Final answer
    x = 242,098.31

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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.