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Finding the Fourth Proportional to 381,462.98, 526,254.45 and 230,472.50

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Solution

The fourth proportional to 381,462.98, 526,254.45 and 230,472.50 is: 317,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,462.98 : 526,254.45 = 230,472.50 : x
  2. Step 2: Convert to fraction form
    381,462.98/526,254.45 = 230,472.50/x
  3. Step 3: Cross multiply
    381,462.98x = 526,254.45 × 230,472.50
  4. Step 4: Simplify right side
    381,462.98x = 121,287,178,727.63
  5. Step 5: Solve for x
    x = 121,287,178,727.63/381,462.98
  6. Step 6: Final answer
    x = 317,952.69

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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.