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Finding the Fourth Proportional to 437,302.66, 656,006.55 and 413,387.82

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Solution

The fourth proportional to 437,302.66, 656,006.55 and 413,387.82 is: 620,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,302.66 : 656,006.55 = 413,387.82 : x
  2. Step 2: Convert to fraction form
    437,302.66/656,006.55 = 413,387.82/x
  3. Step 3: Cross multiply
    437,302.66x = 656,006.55 × 413,387.82
  4. Step 4: Simplify right side
    437,302.66x = 271,185,117,610.22
  5. Step 5: Solve for x
    x = 271,185,117,610.22/437,302.66
  6. Step 6: Final answer
    x = 620,131.42

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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.