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Finding the Fourth Proportional to 459,508.71, 634,118.51 and 252,772.65

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Solution

The fourth proportional to 459,508.71, 634,118.51 and 252,772.65 is: 348,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,508.71 : 634,118.51 = 252,772.65 : x
  2. Step 2: Convert to fraction form
    459,508.71/634,118.51 = 252,772.65/x
  3. Step 3: Cross multiply
    459,508.71x = 634,118.51 × 252,772.65
  4. Step 4: Simplify right side
    459,508.71x = 160,287,817,891.22
  5. Step 5: Solve for x
    x = 160,287,817,891.22/459,508.71
  6. Step 6: Final answer
    x = 348,824.33

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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.