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Finding the Fourth Proportional to 460,473.35, 690,803.45 and 144,856.85

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Solution

The fourth proportional to 460,473.35, 690,803.45 and 144,856.85 is: 217,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,473.35 : 690,803.45 = 144,856.85 : x
  2. Step 2: Convert to fraction form
    460,473.35/690,803.45 = 144,856.85/x
  3. Step 3: Cross multiply
    460,473.35x = 690,803.45 × 144,856.85
  4. Step 4: Simplify right side
    460,473.35x = 100,067,607,557.83
  5. Step 5: Solve for x
    x = 100,067,607,557.83/460,473.35
  6. Step 6: Final answer
    x = 217,314.66

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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.