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Finding the Fourth Proportional to 310,674.18, 466,016.97 and 97,437.33

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Solution

The fourth proportional to 310,674.18, 466,016.97 and 97,437.33 is: 146,157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,674.18 : 466,016.97 = 97,437.33 : x
  2. Step 2: Convert to fraction form
    310,674.18/466,016.97 = 97,437.33/x
  3. Step 3: Cross multiply
    310,674.18x = 466,016.97 × 97,437.33
  4. Step 4: Simplify right side
    310,674.18x = 45,407,449,291.49
  5. Step 5: Solve for x
    x = 45,407,449,291.49/310,674.18
  6. Step 6: Final answer
    x = 146,157.78

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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.