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Finding the Fourth Proportional to 310,092.07, 464,459.96 and 219,861.28

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Solution

The fourth proportional to 310,092.07, 464,459.96 and 219,861.28 is: 329,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,092.07 : 464,459.96 = 219,861.28 : x
  2. Step 2: Convert to fraction form
    310,092.07/464,459.96 = 219,861.28/x
  3. Step 3: Cross multiply
    310,092.07x = 464,459.96 × 219,861.28
  4. Step 4: Simplify right side
    310,092.07x = 102,116,761,314.35
  5. Step 5: Solve for x
    x = 102,116,761,314.35/310,092.07
  6. Step 6: Final answer
    x = 329,311.10

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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.