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Finding the Fourth Proportional to 345,715, 518,659.98 and 96,397

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Solution

The fourth proportional to 345,715, 518,659.98 and 96,397 is: 144,619.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,715 : 518,659.98 = 96,397 : x
  2. Step 2: Convert to fraction form
    345,715/518,659.98 = 96,397/x
  3. Step 3: Cross multiply
    345,715x = 518,659.98 × 96,397
  4. Step 4: Simplify right side
    345,715x = 49,997,266,092.06
  5. Step 5: Solve for x
    x = 49,997,266,092.06/345,715
  6. Step 6: Final answer
    x = 144,619.89

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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.