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Finding the Fourth Proportional to 310,232.92, 464,430.84 and 191,522.56

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Solution

The fourth proportional to 310,232.92, 464,430.84 and 191,522.56 is: 286,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,232.92 : 464,430.84 = 191,522.56 : x
  2. Step 2: Convert to fraction form
    310,232.92/464,430.84 = 191,522.56/x
  3. Step 3: Cross multiply
    310,232.92x = 464,430.84 × 191,522.56
  4. Step 4: Simplify right side
    310,232.92x = 88,948,983,419.75
  5. Step 5: Solve for x
    x = 88,948,983,419.75/310,232.92
  6. Step 6: Final answer
    x = 286,716.78

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1.5x scale

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.