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Finding the Fourth Proportional to 517,454.64, 714,081.96 and 288,008.46

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Solution

The fourth proportional to 517,454.64, 714,081.96 and 288,008.46 is: 397,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,454.64 : 714,081.96 = 288,008.46 : x
  2. Step 2: Convert to fraction form
    517,454.64/714,081.96 = 288,008.46/x
  3. Step 3: Cross multiply
    517,454.64x = 714,081.96 × 288,008.46
  4. Step 4: Simplify right side
    517,454.64x = 205,661,645,613.38
  5. Step 5: Solve for x
    x = 205,661,645,613.38/517,454.64
  6. Step 6: Final answer
    x = 397,448.65

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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.