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Finding the Fourth Proportional to 345,342, 518,042.34 and 96,024

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Solution

The fourth proportional to 345,342, 518,042.34 and 96,024 is: 144,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,342 : 518,042.34 = 96,024 : x
  2. Step 2: Convert to fraction form
    345,342/518,042.34 = 96,024/x
  3. Step 3: Cross multiply
    345,342x = 518,042.34 × 96,024
  4. Step 4: Simplify right side
    345,342x = 49,744,497,656.16
  5. Step 5: Solve for x
    x = 49,744,497,656.16/345,342
  6. Step 6: Final answer
    x = 144,044.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.