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Finding the Fourth Proportional to 412,754.40, 569,561.28 and 231,473.76

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Solution

The fourth proportional to 412,754.40, 569,561.28 and 231,473.76 is: 319,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,754.40 : 569,561.28 = 231,473.76 : x
  2. Step 2: Convert to fraction form
    412,754.40/569,561.28 = 231,473.76/x
  3. Step 3: Cross multiply
    412,754.40x = 569,561.28 × 231,473.76
  4. Step 4: Simplify right side
    412,754.40x = 131,838,491,032.01
  5. Step 5: Solve for x
    x = 131,838,491,032.01/412,754.40
  6. Step 6: Final answer
    x = 319,411.47

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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.