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Finding the Fourth Proportional to 459,470.92, 634,098.90 and 258,279.88

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Solution

The fourth proportional to 459,470.92, 634,098.90 and 258,279.88 is: 356,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,470.92 : 634,098.90 = 258,279.88 : x
  2. Step 2: Convert to fraction form
    459,470.92/634,098.90 = 258,279.88/x
  3. Step 3: Cross multiply
    459,470.92x = 634,098.90 × 258,279.88
  4. Step 4: Simplify right side
    459,470.92x = 163,774,987,800.13
  5. Step 5: Solve for x
    x = 163,774,987,800.13/459,470.92
  6. Step 6: Final answer
    x = 356,442.55

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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.