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Finding the Fourth Proportional to 347,686.02, 479,801.48 and 194,723.60

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Solution

The fourth proportional to 347,686.02, 479,801.48 and 194,723.60 is: 268,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,686.02 : 479,801.48 = 194,723.60 : x
  2. Step 2: Convert to fraction form
    347,686.02/479,801.48 = 194,723.60/x
  3. Step 3: Cross multiply
    347,686.02x = 479,801.48 × 194,723.60
  4. Step 4: Simplify right side
    347,686.02x = 93,428,668,098.30
  5. Step 5: Solve for x
    x = 93,428,668,098.30/347,686.02
  6. Step 6: Final answer
    x = 268,715.63

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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.