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Finding the Fourth Proportional to 513,523.95, 708,424.25 and 332,294.45

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Solution

The fourth proportional to 513,523.95, 708,424.25 and 332,294.45 is: 458,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,523.95 : 708,424.25 = 332,294.45 : x
  2. Step 2: Convert to fraction form
    513,523.95/708,424.25 = 332,294.45/x
  3. Step 3: Cross multiply
    513,523.95x = 708,424.25 × 332,294.45
  4. Step 4: Simplify right side
    513,523.95x = 235,405,446,520.41
  5. Step 5: Solve for x
    x = 235,405,446,520.41/513,523.95
  6. Step 6: Final answer
    x = 458,411.82

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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.