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Finding the Fourth Proportional to 459,497.82, 634,013.31 and 268,474.30

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Solution

The fourth proportional to 459,497.82, 634,013.31 and 268,474.30 is: 370,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,497.82 : 634,013.31 = 268,474.30 : x
  2. Step 2: Convert to fraction form
    459,497.82/634,013.31 = 268,474.30/x
  3. Step 3: Cross multiply
    459,497.82x = 634,013.31 × 268,474.30
  4. Step 4: Simplify right side
    459,497.82x = 170,216,279,592.93
  5. Step 5: Solve for x
    x = 170,216,279,592.93/459,497.82
  6. Step 6: Final answer
    x = 370,439.80

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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.