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Finding the Fourth Proportional to 656,665.06, 906,338.67 and 414,793.78

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Solution

The fourth proportional to 656,665.06, 906,338.67 and 414,793.78 is: 572,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,665.06 : 906,338.67 = 414,793.78 : x
  2. Step 2: Convert to fraction form
    656,665.06/906,338.67 = 414,793.78/x
  3. Step 3: Cross multiply
    656,665.06x = 906,338.67 × 414,793.78
  4. Step 4: Simplify right side
    656,665.06x = 375,943,642,889.47
  5. Step 5: Solve for x
    x = 375,943,642,889.47/656,665.06
  6. Step 6: Final answer
    x = 572,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.