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Finding the Fourth Proportional to 311,709.60, 467,564.40 and 101,368.80

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Solution

The fourth proportional to 311,709.60, 467,564.40 and 101,368.80 is: 152,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,709.60 : 467,564.40 = 101,368.80 : x
  2. Step 2: Convert to fraction form
    311,709.60/467,564.40 = 101,368.80/x
  3. Step 3: Cross multiply
    311,709.60x = 467,564.40 × 101,368.80
  4. Step 4: Simplify right side
    311,709.60x = 47,396,442,150.72
  5. Step 5: Solve for x
    x = 47,396,442,150.72/311,709.60
  6. Step 6: Final answer
    x = 152,053.20

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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.