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Finding the Fourth Proportional to 307,238.01, 460,248.75 and 144,909.76

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Solution

The fourth proportional to 307,238.01, 460,248.75 and 144,909.76 is: 217,077.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,238.01 : 460,248.75 = 144,909.76 : x
  2. Step 2: Convert to fraction form
    307,238.01/460,248.75 = 144,909.76/x
  3. Step 3: Cross multiply
    307,238.01x = 460,248.75 × 144,909.76
  4. Step 4: Simplify right side
    307,238.01x = 66,694,535,902.80
  5. Step 5: Solve for x
    x = 66,694,535,902.80/307,238.01
  6. Step 6: Final answer
    x = 217,077.75

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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.