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Finding the Fourth Proportional to 424,805.64, 586,247.40 and 233,827.08

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Solution

The fourth proportional to 424,805.64, 586,247.40 and 233,827.08 is: 322,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,805.64 : 586,247.40 = 233,827.08 : x
  2. Step 2: Convert to fraction form
    424,805.64/586,247.40 = 233,827.08/x
  3. Step 3: Cross multiply
    424,805.64x = 586,247.40 × 233,827.08
  4. Step 4: Simplify right side
    424,805.64x = 137,080,517,699.59
  5. Step 5: Solve for x
    x = 137,080,517,699.59/424,805.64
  6. Step 6: Final answer
    x = 322,689.97

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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.