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Finding the Fourth Proportional to 409,212.83, 564,742.10 and 248,074.67

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Solution

The fourth proportional to 409,212.83, 564,742.10 and 248,074.67 is: 342,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,212.83 : 564,742.10 = 248,074.67 : x
  2. Step 2: Convert to fraction form
    409,212.83/564,742.10 = 248,074.67/x
  3. Step 3: Cross multiply
    409,212.83x = 564,742.10 × 248,074.67
  4. Step 4: Simplify right side
    409,212.83x = 140,098,212,124.65
  5. Step 5: Solve for x
    x = 140,098,212,124.65/409,212.83
  6. Step 6: Final answer
    x = 342,360.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.