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Finding the Fourth Proportional to 312,725.99, 468,713.55 and 144,014.74

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Solution

The fourth proportional to 312,725.99, 468,713.55 and 144,014.74 is: 215,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,725.99 : 468,713.55 = 144,014.74 : x
  2. Step 2: Convert to fraction form
    312,725.99/468,713.55 = 144,014.74/x
  3. Step 3: Cross multiply
    312,725.99x = 468,713.55 × 144,014.74
  4. Step 4: Simplify right side
    312,725.99x = 67,501,660,037.73
  5. Step 5: Solve for x
    x = 67,501,660,037.73/312,725.99
  6. Step 6: Final answer
    x = 215,849.22

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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.