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Finding the Fourth Proportional to 353,127.60, 529,691.40 and 314,420.40

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Solution

The fourth proportional to 353,127.60, 529,691.40 and 314,420.40 is: 471,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,127.60 : 529,691.40 = 314,420.40 : x
  2. Step 2: Convert to fraction form
    353,127.60/529,691.40 = 314,420.40/x
  3. Step 3: Cross multiply
    353,127.60x = 529,691.40 × 314,420.40
  4. Step 4: Simplify right side
    353,127.60x = 166,545,781,864.56
  5. Step 5: Solve for x
    x = 166,545,781,864.56/353,127.60
  6. Step 6: Final answer
    x = 471,630.60

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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.