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Finding the Fourth Proportional to 306,502.32, 459,734.40 and 146,691.76

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Solution

The fourth proportional to 306,502.32, 459,734.40 and 146,691.76 is: 220,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.32 : 459,734.40 = 146,691.76 : x
  2. Step 2: Convert to fraction form
    306,502.32/459,734.40 = 146,691.76/x
  3. Step 3: Cross multiply
    306,502.32x = 459,734.40 × 146,691.76
  4. Step 4: Simplify right side
    306,502.32x = 67,439,248,268.54
  5. Step 5: Solve for x
    x = 67,439,248,268.54/306,502.32
  6. Step 6: Final answer
    x = 220,028.51

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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.