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Finding the Fourth Proportional to 306,502.42, 459,793.80 and 101,268.90

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Solution

The fourth proportional to 306,502.42, 459,793.80 and 101,268.90 is: 151,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,502.42 : 459,793.80 = 101,268.90 : x
  2. Step 2: Convert to fraction form
    306,502.42/459,793.80 = 101,268.90/x
  3. Step 3: Cross multiply
    306,502.42x = 459,793.80 × 101,268.90
  4. Step 4: Simplify right side
    306,502.42x = 46,562,812,352.82
  5. Step 5: Solve for x
    x = 46,562,812,352.82/306,502.42
  6. Step 6: Final answer
    x = 151,916.62

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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.