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Finding the Fourth Proportional to 469,652.14, 648,120.18 and 254,792.14

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Solution

The fourth proportional to 469,652.14, 648,120.18 and 254,792.14 is: 351,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,652.14 : 648,120.18 = 254,792.14 : x
  2. Step 2: Convert to fraction form
    469,652.14/648,120.18 = 254,792.14/x
  3. Step 3: Cross multiply
    469,652.14x = 648,120.18 × 254,792.14
  4. Step 4: Simplify right side
    469,652.14x = 165,135,931,531.65
  5. Step 5: Solve for x
    x = 165,135,931,531.65/469,652.14
  6. Step 6: Final answer
    x = 351,613.29

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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.