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Finding the Fourth Proportional to 349,751.88, 482,738.16 and 204,624.96

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Solution

The fourth proportional to 349,751.88, 482,738.16 and 204,624.96 is: 282,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,751.88 : 482,738.16 = 204,624.96 : x
  2. Step 2: Convert to fraction form
    349,751.88/482,738.16 = 204,624.96/x
  3. Step 3: Cross multiply
    349,751.88x = 482,738.16 × 204,624.96
  4. Step 4: Simplify right side
    349,751.88x = 98,780,276,680.47
  5. Step 5: Solve for x
    x = 98,780,276,680.47/349,751.88
  6. Step 6: Final answer
    x = 282,429.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.