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Finding the Fourth Proportional to 517,514.55, 714,169.92 and 288,066.85

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Solution

The fourth proportional to 517,514.55, 714,169.92 and 288,066.85 is: 397,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,514.55 : 714,169.92 = 288,066.85 : x
  2. Step 2: Convert to fraction form
    517,514.55/714,169.92 = 288,066.85/x
  3. Step 3: Cross multiply
    517,514.55x = 714,169.92 × 288,066.85
  4. Step 4: Simplify right side
    517,514.55x = 205,728,679,219.15
  5. Step 5: Solve for x
    x = 205,728,679,219.15/517,514.55
  6. Step 6: Final answer
    x = 397,532.16

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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.