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Finding the Fourth Proportional to 348,511.47, 522,821.88 and 148,832.91

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Solution

The fourth proportional to 348,511.47, 522,821.88 and 148,832.91 is: 223,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,511.47 : 522,821.88 = 148,832.91 : x
  2. Step 2: Convert to fraction form
    348,511.47/522,821.88 = 148,832.91/x
  3. Step 3: Cross multiply
    348,511.47x = 522,821.88 × 148,832.91
  4. Step 4: Simplify right side
    348,511.47x = 77,813,101,812.07
  5. Step 5: Solve for x
    x = 77,813,101,812.07/348,511.47
  6. Step 6: Final answer
    x = 223,272.71

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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.