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Finding the Fourth Proportional to 724,162, 999,343.56 and 441,538

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Solution

The fourth proportional to 724,162, 999,343.56 and 441,538 is: 609,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,162 : 999,343.56 = 441,538 : x
  2. Step 2: Convert to fraction form
    724,162/999,343.56 = 441,538/x
  3. Step 3: Cross multiply
    724,162x = 999,343.56 × 441,538
  4. Step 4: Simplify right side
    724,162x = 441,248,156,795.28
  5. Step 5: Solve for x
    x = 441,248,156,795.28/724,162
  6. Step 6: Final answer
    x = 609,322.44

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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.