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Finding the Fourth Proportional to 332,033.35, 497,672.51 and 291,973.83

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Solution

The fourth proportional to 332,033.35, 497,672.51 and 291,973.83 is: 437,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,033.35 : 497,672.51 = 291,973.83 : x
  2. Step 2: Convert to fraction form
    332,033.35/497,672.51 = 291,973.83/x
  3. Step 3: Cross multiply
    332,033.35x = 497,672.51 × 291,973.83
  4. Step 4: Simplify right side
    332,033.35x = 145,307,347,370.54
  5. Step 5: Solve for x
    x = 145,307,347,370.54/332,033.35
  6. Step 6: Final answer
    x = 437,628.78

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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.