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Finding the Fourth Proportional to 436,267.80, 654,401.70 and 288,523.80

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Solution

The fourth proportional to 436,267.80, 654,401.70 and 288,523.80 is: 432,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,267.80 : 654,401.70 = 288,523.80 : x
  2. Step 2: Convert to fraction form
    436,267.80/654,401.70 = 288,523.80/x
  3. Step 3: Cross multiply
    436,267.80x = 654,401.70 × 288,523.80
  4. Step 4: Simplify right side
    436,267.80x = 188,810,465,210.46
  5. Step 5: Solve for x
    x = 188,810,465,210.46/436,267.80
  6. Step 6: Final answer
    x = 432,785.70

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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.