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Finding the Fourth Proportional to 424,857.64, 586,316.75 and 231,278.24

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Solution

The fourth proportional to 424,857.64, 586,316.75 and 231,278.24 is: 319,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,857.64 : 586,316.75 = 231,278.24 : x
  2. Step 2: Convert to fraction form
    424,857.64/586,316.75 = 231,278.24/x
  3. Step 3: Cross multiply
    424,857.64x = 586,316.75 × 231,278.24
  4. Step 4: Simplify right side
    424,857.64x = 135,602,306,022.52
  5. Step 5: Solve for x
    x = 135,602,306,022.52/424,857.64
  6. Step 6: Final answer
    x = 319,171.16

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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.