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Finding the Fourth Proportional to 424,225, 585,444.18 and 233,252.20

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Solution

The fourth proportional to 424,225, 585,444.18 and 233,252.20 is: 321,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,225 : 585,444.18 = 233,252.20 : x
  2. Step 2: Convert to fraction form
    424,225/585,444.18 = 233,252.20/x
  3. Step 3: Cross multiply
    424,225x = 585,444.18 × 233,252.20
  4. Step 4: Simplify right side
    424,225x = 136,556,142,962.20
  5. Step 5: Solve for x
    x = 136,556,142,962.20/424,225
  6. Step 6: Final answer
    x = 321,895.56

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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.