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Finding the Fourth Proportional to 411,042.47, 615,013.36 and 242,654.40

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Solution

The fourth proportional to 411,042.47, 615,013.36 and 242,654.40 is: 363,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,042.47 : 615,013.36 = 242,654.40 : x
  2. Step 2: Convert to fraction form
    411,042.47/615,013.36 = 242,654.40/x
  3. Step 3: Cross multiply
    411,042.47x = 615,013.36 × 242,654.40
  4. Step 4: Simplify right side
    411,042.47x = 149,235,697,256.15
  5. Step 5: Solve for x
    x = 149,235,697,256.15/411,042.47
  6. Step 6: Final answer
    x = 363,066.37

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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.