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Finding the Fourth Proportional to 310,909.50, 466,376.40 and 97,822.80

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Solution

The fourth proportional to 310,909.50, 466,376.40 and 97,822.80 is: 146,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,909.50 : 466,376.40 = 97,822.80 : x
  2. Step 2: Convert to fraction form
    310,909.50/466,376.40 = 97,822.80/x
  3. Step 3: Cross multiply
    310,909.50x = 466,376.40 × 97,822.80
  4. Step 4: Simplify right side
    310,909.50x = 45,622,245,301.92
  5. Step 5: Solve for x
    x = 45,622,245,301.92/310,909.50
  6. Step 6: Final answer
    x = 146,738.02

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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.