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Finding the Fourth Proportional to 465,780.90, 697,687.20 and 465,780.90

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Solution

The fourth proportional to 465,780.90, 697,687.20 and 465,780.90 is: 697,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,780.90 : 697,687.20 = 465,780.90 : x
  2. Step 2: Convert to fraction form
    465,780.90/697,687.20 = 465,780.90/x
  3. Step 3: Cross multiply
    465,780.90x = 697,687.20 × 465,780.90
  4. Step 4: Simplify right side
    465,780.90x = 324,969,371,934.48
  5. Step 5: Solve for x
    x = 324,969,371,934.48/465,780.90
  6. Step 6: Final answer
    x = 697,687.20

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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.