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Finding the Fourth Proportional to 349,584.54, 482,463.66 and 213,698.04

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Solution

The fourth proportional to 349,584.54, 482,463.66 and 213,698.04 is: 294,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,584.54 : 482,463.66 = 213,698.04 : x
  2. Step 2: Convert to fraction form
    349,584.54/482,463.66 = 213,698.04/x
  3. Step 3: Cross multiply
    349,584.54x = 482,463.66 × 213,698.04
  4. Step 4: Simplify right side
    349,584.54x = 103,101,538,513.23
  5. Step 5: Solve for x
    x = 103,101,538,513.23/349,584.54
  6. Step 6: Final answer
    x = 294,925.91

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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.