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Finding the Fourth Proportional to 465,417.20, 698,125.80 and 434,082.80

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Solution

The fourth proportional to 465,417.20, 698,125.80 and 434,082.80 is: 651,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,417.20 : 698,125.80 = 434,082.80 : x
  2. Step 2: Convert to fraction form
    465,417.20/698,125.80 = 434,082.80/x
  3. Step 3: Cross multiply
    465,417.20x = 698,125.80 × 434,082.80
  4. Step 4: Simplify right side
    465,417.20x = 303,044,402,016.24
  5. Step 5: Solve for x
    x = 303,044,402,016.24/465,417.20
  6. Step 6: Final answer
    x = 651,124.20

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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.