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Finding the Fourth Proportional to 311,303.40, 466,206.66 and 177,778.92

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Solution

The fourth proportional to 311,303.40, 466,206.66 and 177,778.92 is: 266,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,303.40 : 466,206.66 = 177,778.92 : x
  2. Step 2: Convert to fraction form
    311,303.40/466,206.66 = 177,778.92/x
  3. Step 3: Cross multiply
    311,303.40x = 466,206.66 × 177,778.92
  4. Step 4: Simplify right side
    311,303.40x = 82,881,716,511.61
  5. Step 5: Solve for x
    x = 82,881,716,511.61/311,303.40
  6. Step 6: Final answer
    x = 266,240.96

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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.