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Finding the Fourth Proportional to 288,944.80, 433,244.40 and 148,976.80

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Solution

The fourth proportional to 288,944.80, 433,244.40 and 148,976.80 is: 223,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,944.80 : 433,244.40 = 148,976.80 : x
  2. Step 2: Convert to fraction form
    288,944.80/433,244.40 = 148,976.80/x
  3. Step 3: Cross multiply
    288,944.80x = 433,244.40 × 148,976.80
  4. Step 4: Simplify right side
    288,944.80x = 64,543,364,329.92
  5. Step 5: Solve for x
    x = 64,543,364,329.92/288,944.80
  6. Step 6: Final answer
    x = 223,376.11

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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.