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Finding the Fourth Proportional to 409,212.65, 564,741.84 and 248,074.49

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Solution

The fourth proportional to 409,212.65, 564,741.84 and 248,074.49 is: 342,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,212.65 : 564,741.84 = 248,074.49 : x
  2. Step 2: Convert to fraction form
    409,212.65/564,741.84 = 248,074.49/x
  3. Step 3: Cross multiply
    409,212.65x = 564,741.84 × 248,074.49
  4. Step 4: Simplify right side
    409,212.65x = 140,098,041,115.95
  5. Step 5: Solve for x
    x = 140,098,041,115.95/409,212.65
  6. Step 6: Final answer
    x = 342,360.00

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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.