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Finding the Fourth Proportional to 424,853.10, 586,314 and 233,884.26

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Solution

The fourth proportional to 424,853.10, 586,314 and 233,884.26 is: 322,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,853.10 : 586,314 = 233,884.26 : x
  2. Step 2: Convert to fraction form
    424,853.10/586,314 = 233,884.26/x
  3. Step 3: Cross multiply
    424,853.10x = 586,314 × 233,884.26
  4. Step 4: Simplify right side
    424,853.10x = 137,129,616,017.64
  5. Step 5: Solve for x
    x = 137,129,616,017.64/424,853.10
  6. Step 6: Final answer
    x = 322,769.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.