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Finding the Fourth Proportional to 458,540.60, 687,908.10 and 138,666.20

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Solution

The fourth proportional to 458,540.60, 687,908.10 and 138,666.20 is: 208,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,540.60 : 687,908.10 = 138,666.20 : x
  2. Step 2: Convert to fraction form
    458,540.60/687,908.10 = 138,666.20/x
  3. Step 3: Cross multiply
    458,540.60x = 687,908.10 × 138,666.20
  4. Step 4: Simplify right side
    458,540.60x = 95,389,602,176.22
  5. Step 5: Solve for x
    x = 95,389,602,176.22/458,540.60
  6. Step 6: Final answer
    x = 208,028.69

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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.