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Finding the Fourth Proportional to 578,957.76, 868,461 and 158,232.48

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Solution

The fourth proportional to 578,957.76, 868,461 and 158,232.48 is: 237,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,957.76 : 868,461 = 158,232.48 : x
  2. Step 2: Convert to fraction form
    578,957.76/868,461 = 158,232.48/x
  3. Step 3: Cross multiply
    578,957.76x = 868,461 × 158,232.48
  4. Step 4: Simplify right side
    578,957.76x = 137,418,737,813.28
  5. Step 5: Solve for x
    x = 137,418,737,813.28/578,957.76
  6. Step 6: Final answer
    x = 237,355.38

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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.