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Finding the Fourth Proportional to 390,146.60, 585,132.22 and 232,419.88

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Solution

The fourth proportional to 390,146.60, 585,132.22 and 232,419.88 is: 348,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,146.60 : 585,132.22 = 232,419.88 : x
  2. Step 2: Convert to fraction form
    390,146.60/585,132.22 = 232,419.88/x
  3. Step 3: Cross multiply
    390,146.60x = 585,132.22 × 232,419.88
  4. Step 4: Simplify right side
    390,146.60x = 135,996,360,356.53
  5. Step 5: Solve for x
    x = 135,996,360,356.53/390,146.60
  6. Step 6: Final answer
    x = 348,577.59

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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.