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Finding the Fourth Proportional to 513,378.96, 708,178.56 and 298,495.28

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Solution

The fourth proportional to 513,378.96, 708,178.56 and 298,495.28 is: 411,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,378.96 : 708,178.56 = 298,495.28 : x
  2. Step 2: Convert to fraction form
    513,378.96/708,178.56 = 298,495.28/x
  3. Step 3: Cross multiply
    513,378.96x = 708,178.56 × 298,495.28
  4. Step 4: Simplify right side
    513,378.96x = 211,387,957,557.20
  5. Step 5: Solve for x
    x = 211,387,957,557.20/513,378.96
  6. Step 6: Final answer
    x = 411,758.12

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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.