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Finding the Fourth Proportional to 424,427.64, 585,714.78 and 233,442.60

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Solution

The fourth proportional to 424,427.64, 585,714.78 and 233,442.60 is: 322,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,427.64 : 585,714.78 = 233,442.60 : x
  2. Step 2: Convert to fraction form
    424,427.64/585,714.78 = 233,442.60/x
  3. Step 3: Cross multiply
    424,427.64x = 585,714.78 × 233,442.60
  4. Step 4: Simplify right side
    424,427.64x = 136,730,781,101.63
  5. Step 5: Solve for x
    x = 136,730,781,101.63/424,427.64
  6. Step 6: Final answer
    x = 322,153.34

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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.