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Finding the Fourth Proportional to 519,726.80, 778,423.80 and 426,414.80

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Solution

The fourth proportional to 519,726.80, 778,423.80 and 426,414.80 is: 638,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,726.80 : 778,423.80 = 426,414.80 : x
  2. Step 2: Convert to fraction form
    519,726.80/778,423.80 = 426,414.80/x
  3. Step 3: Cross multiply
    519,726.80x = 778,423.80 × 426,414.80
  4. Step 4: Simplify right side
    519,726.80x = 331,931,428,992.24
  5. Step 5: Solve for x
    x = 331,931,428,992.24/519,726.80
  6. Step 6: Final answer
    x = 638,665.22

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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.