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Finding the Fourth Proportional to 515,951.30, 711,988.84 and 286,523.14

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Solution

The fourth proportional to 515,951.30, 711,988.84 and 286,523.14 is: 395,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,951.30 : 711,988.84 = 286,523.14 : x
  2. Step 2: Convert to fraction form
    515,951.30/711,988.84 = 286,523.14/x
  3. Step 3: Cross multiply
    515,951.30x = 711,988.84 × 286,523.14
  4. Step 4: Simplify right side
    515,951.30x = 204,001,278,081.76
  5. Step 5: Solve for x
    x = 204,001,278,081.76/515,951.30
  6. Step 6: Final answer
    x = 395,388.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.