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Finding the Fourth Proportional to 417,346.54, 626,065.78 and 132,970.92

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Solution

The fourth proportional to 417,346.54, 626,065.78 and 132,970.92 is: 199,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,346.54 : 626,065.78 = 132,970.92 : x
  2. Step 2: Convert to fraction form
    417,346.54/626,065.78 = 132,970.92/x
  3. Step 3: Cross multiply
    417,346.54x = 626,065.78 × 132,970.92
  4. Step 4: Simplify right side
    417,346.54x = 83,248,542,747.12
  5. Step 5: Solve for x
    x = 83,248,542,747.12/417,346.54
  6. Step 6: Final answer
    x = 199,471.03

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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.