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Finding the Fourth Proportional to 417,097.86, 624,152.10 and 361,131.30

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Solution

The fourth proportional to 417,097.86, 624,152.10 and 361,131.30 is: 540,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,097.86 : 624,152.10 = 361,131.30 : x
  2. Step 2: Convert to fraction form
    417,097.86/624,152.10 = 361,131.30/x
  3. Step 3: Cross multiply
    417,097.86x = 624,152.10 × 361,131.30
  4. Step 4: Simplify right side
    417,097.86x = 225,400,859,270.73
  5. Step 5: Solve for x
    x = 225,400,859,270.73/417,097.86
  6. Step 6: Final answer
    x = 540,402.82

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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.