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Finding the Fourth Proportional to 530,584.38, 732,221.76 and 288,871.02

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Solution

The fourth proportional to 530,584.38, 732,221.76 and 288,871.02 is: 398,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,584.38 : 732,221.76 = 288,871.02 : x
  2. Step 2: Convert to fraction form
    530,584.38/732,221.76 = 288,871.02/x
  3. Step 3: Cross multiply
    530,584.38x = 732,221.76 × 288,871.02
  4. Step 4: Simplify right side
    530,584.38x = 211,517,646,677.40
  5. Step 5: Solve for x
    x = 211,517,646,677.40/530,584.38
  6. Step 6: Final answer
    x = 398,650.35

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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.