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Finding the Fourth Proportional to 460,473.15, 690,803.14 and 144,856.65

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Solution

The fourth proportional to 460,473.15, 690,803.14 and 144,856.65 is: 217,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,473.15 : 690,803.14 = 144,856.65 : x
  2. Step 2: Convert to fraction form
    460,473.15/690,803.14 = 144,856.65/x
  3. Step 3: Cross multiply
    460,473.15x = 690,803.14 × 144,856.65
  4. Step 4: Simplify right side
    460,473.15x = 100,067,428,669.88
  5. Step 5: Solve for x
    x = 100,067,428,669.88/460,473.15
  6. Step 6: Final answer
    x = 217,314.36

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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.