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Finding the Fourth Proportional to 475,652.30, 713,402.49 and 138,614.11

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Solution

The fourth proportional to 475,652.30, 713,402.49 and 138,614.11 is: 207,899.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,652.30 : 713,402.49 = 138,614.11 : x
  2. Step 2: Convert to fraction form
    475,652.30/713,402.49 = 138,614.11/x
  3. Step 3: Cross multiply
    475,652.30x = 713,402.49 × 138,614.11
  4. Step 4: Simplify right side
    475,652.30x = 98,887,651,405.46
  5. Step 5: Solve for x
    x = 98,887,651,405.46/475,652.30
  6. Step 6: Final answer
    x = 207,899.03

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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.