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Finding the Fourth Proportional to 424,010.44, 585,170.32 and 288,345.36

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Solution

The fourth proportional to 424,010.44, 585,170.32 and 288,345.36 is: 397,941.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,010.44 : 585,170.32 = 288,345.36 : x
  2. Step 2: Convert to fraction form
    424,010.44/585,170.32 = 288,345.36/x
  3. Step 3: Cross multiply
    424,010.44x = 585,170.32 × 288,345.36
  4. Step 4: Simplify right side
    424,010.44x = 168,731,146,581.72
  5. Step 5: Solve for x
    x = 168,731,146,581.72/424,010.44
  6. Step 6: Final answer
    x = 397,941.02

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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.