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Finding the Fourth Proportional to 559,082.32, 838,517.37 and 154,174.47

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Solution

The fourth proportional to 559,082.32, 838,517.37 and 154,174.47 is: 231,232.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,082.32 : 838,517.37 = 154,174.47 : x
  2. Step 2: Convert to fraction form
    559,082.32/838,517.37 = 154,174.47/x
  3. Step 3: Cross multiply
    559,082.32x = 838,517.37 × 154,174.47
  4. Step 4: Simplify right side
    559,082.32x = 129,277,973,715.71
  5. Step 5: Solve for x
    x = 129,277,973,715.71/559,082.32
  6. Step 6: Final answer
    x = 231,232.45

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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.