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Finding the Fourth Proportional to 290,620.80, 435,931.20 and 255,628.80

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Solution

The fourth proportional to 290,620.80, 435,931.20 and 255,628.80 is: 383,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,620.80 : 435,931.20 = 255,628.80 : x
  2. Step 2: Convert to fraction form
    290,620.80/435,931.20 = 255,628.80/x
  3. Step 3: Cross multiply
    290,620.80x = 435,931.20 × 255,628.80
  4. Step 4: Simplify right side
    290,620.80x = 111,436,569,538.56
  5. Step 5: Solve for x
    x = 111,436,569,538.56/290,620.80
  6. Step 6: Final answer
    x = 383,443.20

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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.