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Finding the Fourth Proportional to 653,729.33, 902,125.55 and 363,339.47

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Solution

The fourth proportional to 653,729.33, 902,125.55 and 363,339.47 is: 501,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,729.33 : 902,125.55 = 363,339.47 : x
  2. Step 2: Convert to fraction form
    653,729.33/902,125.55 = 363,339.47/x
  3. Step 3: Cross multiply
    653,729.33x = 902,125.55 × 363,339.47
  4. Step 4: Simplify right side
    653,729.33x = 327,777,822,374.12
  5. Step 5: Solve for x
    x = 327,777,822,374.12/653,729.33
  6. Step 6: Final answer
    x = 501,396.84

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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.