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Finding the Fourth Proportional to 524,737.32, 724,193.28 and 320,907.48

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Solution

The fourth proportional to 524,737.32, 724,193.28 and 320,907.48 is: 442,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,737.32 : 724,193.28 = 320,907.48 : x
  2. Step 2: Convert to fraction form
    524,737.32/724,193.28 = 320,907.48/x
  3. Step 3: Cross multiply
    524,737.32x = 724,193.28 × 320,907.48
  4. Step 4: Simplify right side
    524,737.32x = 232,399,040,517.73
  5. Step 5: Solve for x
    x = 232,399,040,517.73/524,737.32
  6. Step 6: Final answer
    x = 442,886.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.