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Finding the Fourth Proportional to 459,469.92, 634,097.52 and 258,278.88

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Solution

The fourth proportional to 459,469.92, 634,097.52 and 258,278.88 is: 356,441.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,469.92 : 634,097.52 = 258,278.88 : x
  2. Step 2: Convert to fraction form
    459,469.92/634,097.52 = 258,278.88/x
  3. Step 3: Cross multiply
    459,469.92x = 634,097.52 × 258,278.88
  4. Step 4: Simplify right side
    459,469.92x = 163,773,997,276.38
  5. Step 5: Solve for x
    x = 163,773,997,276.38/459,469.92
  6. Step 6: Final answer
    x = 356,441.17

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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.