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Finding the Fourth Proportional to 513,215.08, 769,854.06 and 197,672.92

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Solution

The fourth proportional to 513,215.08, 769,854.06 and 197,672.92 is: 296,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,215.08 : 769,854.06 = 197,672.92 : x
  2. Step 2: Convert to fraction form
    513,215.08/769,854.06 = 197,672.92/x
  3. Step 3: Cross multiply
    513,215.08x = 769,854.06 × 197,672.92
  4. Step 4: Simplify right side
    513,215.08x = 152,179,300,014.06
  5. Step 5: Solve for x
    x = 152,179,300,014.06/513,215.08
  6. Step 6: Final answer
    x = 296,521.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.