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Finding the Fourth Proportional to 424,437.34, 585,734.62 and 233,455.74

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Solution

The fourth proportional to 424,437.34, 585,734.62 and 233,455.74 is: 322,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,437.34 : 585,734.62 = 233,455.74 : x
  2. Step 2: Convert to fraction form
    424,437.34/585,734.62 = 233,455.74/x
  3. Step 3: Cross multiply
    424,437.34x = 585,734.62 × 233,455.74
  4. Step 4: Simplify right side
    424,437.34x = 136,743,109,155.72
  5. Step 5: Solve for x
    x = 136,743,109,155.72/424,437.34
  6. Step 6: Final answer
    x = 322,175.02

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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.