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Finding the Fourth Proportional to 657,315.88, 986,320.96 and 466,423.80

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Solution

The fourth proportional to 657,315.88, 986,320.96 and 466,423.80 is: 699,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,315.88 : 986,320.96 = 466,423.80 : x
  2. Step 2: Convert to fraction form
    657,315.88/986,320.96 = 466,423.80/x
  3. Step 3: Cross multiply
    657,315.88x = 986,320.96 × 466,423.80
  4. Step 4: Simplify right side
    657,315.88x = 460,043,569,016.79
  5. Step 5: Solve for x
    x = 460,043,569,016.79/657,315.88
  6. Step 6: Final answer
    x = 699,882.02

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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.