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Finding the Fourth Proportional to 515,857.59, 711,886.28 and 286,418.43

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Solution

The fourth proportional to 515,857.59, 711,886.28 and 286,418.43 is: 395,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,857.59 : 711,886.28 = 286,418.43 : x
  2. Step 2: Convert to fraction form
    515,857.59/711,886.28 = 286,418.43/x
  3. Step 3: Cross multiply
    515,857.59x = 711,886.28 × 286,418.43
  4. Step 4: Simplify right side
    515,857.59x = 203,897,349,224.05
  5. Step 5: Solve for x
    x = 203,897,349,224.05/515,857.59
  6. Step 6: Final answer
    x = 395,258.99

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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.