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Finding the Fourth Proportional to 519,906.66, 780,107.91 and 283,244.10

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Solution

The fourth proportional to 519,906.66, 780,107.91 and 283,244.10 is: 425,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,906.66 : 780,107.91 = 283,244.10 : x
  2. Step 2: Convert to fraction form
    519,906.66/780,107.91 = 283,244.10/x
  3. Step 3: Cross multiply
    519,906.66x = 780,107.91 × 283,244.10
  4. Step 4: Simplify right side
    519,906.66x = 220,960,962,870.83
  5. Step 5: Solve for x
    x = 220,960,962,870.83/519,906.66
  6. Step 6: Final answer
    x = 425,001.22

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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.