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Finding the Fourth Proportional to 460,057.93, 690,114.33 and 144,514.73

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Solution

The fourth proportional to 460,057.93, 690,114.33 and 144,514.73 is: 216,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,057.93 : 690,114.33 = 144,514.73 : x
  2. Step 2: Convert to fraction form
    460,057.93/690,114.33 = 144,514.73/x
  3. Step 3: Cross multiply
    460,057.93x = 690,114.33 × 144,514.73
  4. Step 4: Simplify right side
    460,057.93x = 99,731,687,794.37
  5. Step 5: Solve for x
    x = 99,731,687,794.37/460,057.93
  6. Step 6: Final answer
    x = 216,780.72

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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.