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Finding the Fourth Proportional to 385,357.79, 577,892.91 and 132,566.78

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Solution

The fourth proportional to 385,357.79, 577,892.91 and 132,566.78 is: 198,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,357.79 : 577,892.91 = 132,566.78 : x
  2. Step 2: Convert to fraction form
    385,357.79/577,892.91 = 132,566.78/x
  3. Step 3: Cross multiply
    385,357.79x = 577,892.91 × 132,566.78
  4. Step 4: Simplify right side
    385,357.79x = 76,609,402,263.53
  5. Step 5: Solve for x
    x = 76,609,402,263.53/385,357.79
  6. Step 6: Final answer
    x = 198,800.71

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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.