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Finding the Fourth Proportional to 349,634.52, 482,423.22 and 204,412.32

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Solution

The fourth proportional to 349,634.52, 482,423.22 and 204,412.32 is: 282,046.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,634.52 : 482,423.22 = 204,412.32 : x
  2. Step 2: Convert to fraction form
    349,634.52/482,423.22 = 204,412.32/x
  3. Step 3: Cross multiply
    349,634.52x = 482,423.22 × 204,412.32
  4. Step 4: Simplify right side
    349,634.52x = 98,613,249,622.07
  5. Step 5: Solve for x
    x = 98,613,249,622.07/349,634.52
  6. Step 6: Final answer
    x = 282,046.66

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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.