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Finding the Fourth Proportional to 409,024.67, 564,477.31 and 245,731.12

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Solution

The fourth proportional to 409,024.67, 564,477.31 and 245,731.12 is: 339,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,024.67 : 564,477.31 = 245,731.12 : x
  2. Step 2: Convert to fraction form
    409,024.67/564,477.31 = 245,731.12/x
  3. Step 3: Cross multiply
    409,024.67x = 564,477.31 × 245,731.12
  4. Step 4: Simplify right side
    409,024.67x = 138,709,642,613.65
  5. Step 5: Solve for x
    x = 138,709,642,613.65/409,024.67
  6. Step 6: Final answer
    x = 339,122.93

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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.