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Finding the Fourth Proportional to 460,441.32, 690,760.80 and 260,857.32

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Solution

The fourth proportional to 460,441.32, 690,760.80 and 260,857.32 is: 391,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,441.32 : 690,760.80 = 260,857.32 : x
  2. Step 2: Convert to fraction form
    460,441.32/690,760.80 = 260,857.32/x
  3. Step 3: Cross multiply
    460,441.32x = 690,760.80 × 260,857.32
  4. Step 4: Simplify right side
    460,441.32x = 180,190,011,049.06
  5. Step 5: Solve for x
    x = 180,190,011,049.06/460,441.32
  6. Step 6: Final answer
    x = 391,341.97

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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.