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Finding the Fourth Proportional to 424,704.68, 586,062.24 and 252,613.16

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Solution

The fourth proportional to 424,704.68, 586,062.24 and 252,613.16 is: 348,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,704.68 : 586,062.24 = 252,613.16 : x
  2. Step 2: Convert to fraction form
    424,704.68/586,062.24 = 252,613.16/x
  3. Step 3: Cross multiply
    424,704.68x = 586,062.24 × 252,613.16
  4. Step 4: Simplify right side
    424,704.68x = 148,047,034,403.08
  5. Step 5: Solve for x
    x = 148,047,034,403.08/424,704.68
  6. Step 6: Final answer
    x = 348,588.19

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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.