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Finding the Fourth Proportional to 522,476.32, 783,792.39 and 185,488.75

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Solution

The fourth proportional to 522,476.32, 783,792.39 and 185,488.75 is: 278,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,476.32 : 783,792.39 = 185,488.75 : x
  2. Step 2: Convert to fraction form
    522,476.32/783,792.39 = 185,488.75/x
  3. Step 3: Cross multiply
    522,476.32x = 783,792.39 × 185,488.75
  4. Step 4: Simplify right side
    522,476.32x = 145,384,669,398.41
  5. Step 5: Solve for x
    x = 145,384,669,398.41/522,476.32
  6. Step 6: Final answer
    x = 278,260.78

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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.