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Finding the Fourth Proportional to 424,228.96, 585,437.88 and 230,638.56

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Solution

The fourth proportional to 424,228.96, 585,437.88 and 230,638.56 is: 318,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,228.96 : 585,437.88 = 230,638.56 : x
  2. Step 2: Convert to fraction form
    424,228.96/585,437.88 = 230,638.56/x
  3. Step 3: Cross multiply
    424,228.96x = 585,437.88 × 230,638.56
  4. Step 4: Simplify right side
    424,228.96x = 135,024,549,612.65
  5. Step 5: Solve for x
    x = 135,024,549,612.65/424,228.96
  6. Step 6: Final answer
    x = 318,282.25

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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.