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Finding the Fourth Proportional to 392,681.82, 588,477.74 and 178,927.34

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Solution

The fourth proportional to 392,681.82, 588,477.74 and 178,927.34 is: 268,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.82 : 588,477.74 = 178,927.34 : x
  2. Step 2: Convert to fraction form
    392,681.82/588,477.74 = 178,927.34/x
  3. Step 3: Cross multiply
    392,681.82x = 588,477.74 × 178,927.34
  4. Step 4: Simplify right side
    392,681.82x = 105,294,758,585.92
  5. Step 5: Solve for x
    x = 105,294,758,585.92/392,681.82
  6. Step 6: Final answer
    x = 268,142.69

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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.