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Finding the Fourth Proportional to 424,702.90, 586,090.09 and 233,716.29

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Solution

The fourth proportional to 424,702.90, 586,090.09 and 233,716.29 is: 322,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,702.90 : 586,090.09 = 233,716.29 : x
  2. Step 2: Convert to fraction form
    424,702.90/586,090.09 = 233,716.29/x
  3. Step 3: Cross multiply
    424,702.90x = 586,090.09 × 233,716.29
  4. Step 4: Simplify right side
    424,702.90x = 136,978,799,534.87
  5. Step 5: Solve for x
    x = 136,978,799,534.87/424,702.90
  6. Step 6: Final answer
    x = 322,528.52

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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.