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Finding the Fourth Proportional to 409,210.65, 564,739.08 and 248,072.49

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Solution

The fourth proportional to 409,210.65, 564,739.08 and 248,072.49 is: 342,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,210.65 : 564,739.08 = 248,072.49 : x
  2. Step 2: Convert to fraction form
    409,210.65/564,739.08 = 248,072.49/x
  3. Step 3: Cross multiply
    409,210.65x = 564,739.08 × 248,072.49
  4. Step 4: Simplify right side
    409,210.65x = 140,096,229,775.91
  5. Step 5: Solve for x
    x = 140,096,229,775.91/409,210.65
  6. Step 6: Final answer
    x = 342,357.24

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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.