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Finding the Fourth Proportional to 515,709.20, 711,643.02 and 286,248.44

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Solution

The fourth proportional to 515,709.20, 711,643.02 and 286,248.44 is: 395,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,709.20 : 711,643.02 = 286,248.44 : x
  2. Step 2: Convert to fraction form
    515,709.20/711,643.02 = 286,248.44/x
  3. Step 3: Cross multiply
    515,709.20x = 711,643.02 × 286,248.44
  4. Step 4: Simplify right side
    515,709.20x = 203,706,704,311.89
  5. Step 5: Solve for x
    x = 203,706,704,311.89/515,709.20
  6. Step 6: Final answer
    x = 395,003.04

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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.