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Finding the Fourth Proportional to 345,223, 517,840.98 and 95,911.48

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Solution

The fourth proportional to 345,223, 517,840.98 and 95,911.48 is: 143,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,223 : 517,840.98 = 95,911.48 : x
  2. Step 2: Convert to fraction form
    345,223/517,840.98 = 95,911.48/x
  3. Step 3: Cross multiply
    345,223x = 517,840.98 × 95,911.48
  4. Step 4: Simplify right side
    345,223x = 49,666,894,796.45
  5. Step 5: Solve for x
    x = 49,666,894,796.45/345,223
  6. Step 6: Final answer
    x = 143,869.02

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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.