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Finding the Fourth Proportional to 288,634.80, 433,535.40 and 278,720.40

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Solution

The fourth proportional to 288,634.80, 433,535.40 and 278,720.40 is: 418,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,634.80 : 433,535.40 = 278,720.40 : x
  2. Step 2: Convert to fraction form
    288,634.80/433,535.40 = 278,720.40/x
  3. Step 3: Cross multiply
    288,634.80x = 433,535.40 × 278,720.40
  4. Step 4: Simplify right side
    288,634.80x = 120,835,160,102.16
  5. Step 5: Solve for x
    x = 120,835,160,102.16/288,634.80
  6. Step 6: Final answer
    x = 418,643.77

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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.