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Finding the Fourth Proportional to 390,429.80, 585,644.70 and 232,836.20

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Solution

The fourth proportional to 390,429.80, 585,644.70 and 232,836.20 is: 349,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,429.80 : 585,644.70 = 232,836.20 : x
  2. Step 2: Convert to fraction form
    390,429.80/585,644.70 = 232,836.20/x
  3. Step 3: Cross multiply
    390,429.80x = 585,644.70 × 232,836.20
  4. Step 4: Simplify right side
    390,429.80x = 136,359,286,498.14
  5. Step 5: Solve for x
    x = 136,359,286,498.14/390,429.80
  6. Step 6: Final answer
    x = 349,254.30

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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.