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Finding the Fourth Proportional to 309,080.40, 463,037.40 and 288,085.20

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Solution

The fourth proportional to 309,080.40, 463,037.40 and 288,085.20 is: 431,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,080.40 : 463,037.40 = 288,085.20 : x
  2. Step 2: Convert to fraction form
    309,080.40/463,037.40 = 288,085.20/x
  3. Step 3: Cross multiply
    309,080.40x = 463,037.40 × 288,085.20
  4. Step 4: Simplify right side
    309,080.40x = 133,394,221,986.48
  5. Step 5: Solve for x
    x = 133,394,221,986.48/309,080.40
  6. Step 6: Final answer
    x = 431,584.22

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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.