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Finding the Fourth Proportional to 564,761.52, 847,472.76 and 210,020.40

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Solution

The fourth proportional to 564,761.52, 847,472.76 and 210,020.40 is: 315,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,761.52 : 847,472.76 = 210,020.40 : x
  2. Step 2: Convert to fraction form
    564,761.52/847,472.76 = 210,020.40/x
  3. Step 3: Cross multiply
    564,761.52x = 847,472.76 × 210,020.40
  4. Step 4: Simplify right side
    564,761.52x = 177,986,568,044.30
  5. Step 5: Solve for x
    x = 177,986,568,044.30/564,761.52
  6. Step 6: Final answer
    x = 315,153.50

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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.