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Finding the Fourth Proportional to 384,953.90, 577,431.14 and 104,471.15

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Solution

The fourth proportional to 384,953.90, 577,431.14 and 104,471.15 is: 156,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,953.90 : 577,431.14 = 104,471.15 : x
  2. Step 2: Convert to fraction form
    384,953.90/577,431.14 = 104,471.15/x
  3. Step 3: Cross multiply
    384,953.90x = 577,431.14 × 104,471.15
  4. Step 4: Simplify right side
    384,953.90x = 60,324,891,832.10
  5. Step 5: Solve for x
    x = 60,324,891,832.10/384,953.90
  6. Step 6: Final answer
    x = 156,706.80

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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.