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Finding the Fourth Proportional to 506,738.20, 760,107.30 and 465,403.90

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Solution

The fourth proportional to 506,738.20, 760,107.30 and 465,403.90 is: 698,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,738.20 : 760,107.30 = 465,403.90 : x
  2. Step 2: Convert to fraction form
    506,738.20/760,107.30 = 465,403.90/x
  3. Step 3: Cross multiply
    506,738.20x = 760,107.30 × 465,403.90
  4. Step 4: Simplify right side
    506,738.20x = 353,756,901,838.47
  5. Step 5: Solve for x
    x = 353,756,901,838.47/506,738.20
  6. Step 6: Final answer
    x = 698,105.85

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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.