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Finding the Fourth Proportional to 472,510.25, 708,874.05 and 148,280.39

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Solution

The fourth proportional to 472,510.25, 708,874.05 and 148,280.39 is: 222,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,510.25 : 708,874.05 = 148,280.39 : x
  2. Step 2: Convert to fraction form
    472,510.25/708,874.05 = 148,280.39/x
  3. Step 3: Cross multiply
    472,510.25x = 708,874.05 × 148,280.39
  4. Step 4: Simplify right side
    472,510.25x = 105,112,120,594.88
  5. Step 5: Solve for x
    x = 105,112,120,594.88/472,510.25
  6. Step 6: Final answer
    x = 222,454.69

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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.