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Finding the Fourth Proportional to 411,453.30, 616,576.13 and 231,888.29

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Solution

The fourth proportional to 411,453.30, 616,576.13 and 231,888.29 is: 347,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453.30 : 616,576.13 = 231,888.29 : x
  2. Step 2: Convert to fraction form
    411,453.30/616,576.13 = 231,888.29/x
  3. Step 3: Cross multiply
    411,453.30x = 616,576.13 × 231,888.29
  4. Step 4: Simplify right side
    411,453.30x = 142,976,785,617.95
  5. Step 5: Solve for x
    x = 142,976,785,617.95/411,453.30
  6. Step 6: Final answer
    x = 347,492.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.