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Finding the Fourth Proportional to 522,106.56, 781,830.63 and 344,073.69

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Solution

The fourth proportional to 522,106.56, 781,830.63 and 344,073.69 is: 515,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,106.56 : 781,830.63 = 344,073.69 : x
  2. Step 2: Convert to fraction form
    522,106.56/781,830.63 = 344,073.69/x
  3. Step 3: Cross multiply
    522,106.56x = 781,830.63 × 344,073.69
  4. Step 4: Simplify right side
    522,106.56x = 269,007,349,819.13
  5. Step 5: Solve for x
    x = 269,007,349,819.13/522,106.56
  6. Step 6: Final answer
    x = 515,234.57

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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.