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Finding the Fourth Proportional to 475,074.24, 712,594.08 and 142,641.60

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Solution

The fourth proportional to 475,074.24, 712,594.08 and 142,641.60 is: 213,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,074.24 : 712,594.08 = 142,641.60 : x
  2. Step 2: Convert to fraction form
    475,074.24/712,594.08 = 142,641.60/x
  3. Step 3: Cross multiply
    475,074.24x = 712,594.08 × 142,641.60
  4. Step 4: Simplify right side
    475,074.24x = 101,645,559,721.73
  5. Step 5: Solve for x
    x = 101,645,559,721.73/475,074.24
  6. Step 6: Final answer
    x = 213,957.21

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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.