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Finding the Fourth Proportional to 518,657.38, 715,344.72 and 460,575.22

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Solution

The fourth proportional to 518,657.38, 715,344.72 and 460,575.22 is: 635,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,657.38 : 715,344.72 = 460,575.22 : x
  2. Step 2: Convert to fraction form
    518,657.38/715,344.72 = 460,575.22/x
  3. Step 3: Cross multiply
    518,657.38x = 715,344.72 × 460,575.22
  4. Step 4: Simplify right side
    518,657.38x = 329,470,051,789.84
  5. Step 5: Solve for x
    x = 329,470,051,789.84/518,657.38
  6. Step 6: Final answer
    x = 635,236.41

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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.