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Finding the Fourth Proportional to 650,062.42, 897,132 and 363,609.16

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Solution

The fourth proportional to 650,062.42, 897,132 and 363,609.16 is: 501,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,062.42 : 897,132 = 363,609.16 : x
  2. Step 2: Convert to fraction form
    650,062.42/897,132 = 363,609.16/x
  3. Step 3: Cross multiply
    650,062.42x = 897,132 × 363,609.16
  4. Step 4: Simplify right side
    650,062.42x = 326,205,412,929.12
  5. Step 5: Solve for x
    x = 326,205,412,929.12/650,062.42
  6. Step 6: Final answer
    x = 501,806.29

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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.