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Finding the Fourth Proportional to 310,868.50, 466,314.90 and 97,781.80

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Solution

The fourth proportional to 310,868.50, 466,314.90 and 97,781.80 is: 146,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,868.50 : 466,314.90 = 97,781.80 : x
  2. Step 2: Convert to fraction form
    310,868.50/466,314.90 = 97,781.80/x
  3. Step 3: Cross multiply
    310,868.50x = 466,314.90 × 97,781.80
  4. Step 4: Simplify right side
    310,868.50x = 45,597,110,288.82
  5. Step 5: Solve for x
    x = 45,597,110,288.82/310,868.50
  6. Step 6: Final answer
    x = 146,676.52

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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.