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Finding the Fourth Proportional to 417,840.08, 626,627.16 and 137,292.56

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Solution

The fourth proportional to 417,840.08, 626,627.16 and 137,292.56 is: 205,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,840.08 : 626,627.16 = 137,292.56 : x
  2. Step 2: Convert to fraction form
    417,840.08/626,627.16 = 137,292.56/x
  3. Step 3: Cross multiply
    417,840.08x = 626,627.16 × 137,292.56
  4. Step 4: Simplify right side
    417,840.08x = 86,031,246,961.93
  5. Step 5: Solve for x
    x = 86,031,246,961.93/417,840.08
  6. Step 6: Final answer
    x = 205,895.15

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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.