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Finding the Fourth Proportional to 299,280.65, 413,013.20 and 234,827.12

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Solution

The fourth proportional to 299,280.65, 413,013.20 and 234,827.12 is: 324,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,280.65 : 413,013.20 = 234,827.12 : x
  2. Step 2: Convert to fraction form
    299,280.65/413,013.20 = 234,827.12/x
  3. Step 3: Cross multiply
    299,280.65x = 413,013.20 × 234,827.12
  4. Step 4: Simplify right side
    299,280.65x = 96,986,700,136.38
  5. Step 5: Solve for x
    x = 96,986,700,136.38/299,280.65
  6. Step 6: Final answer
    x = 324,066.06

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1.5x scale

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.