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Finding the Fourth Proportional to 383,963.58, 576,055.92 and 117,763.14

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Solution

The fourth proportional to 383,963.58, 576,055.92 and 117,763.14 is: 176,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,963.58 : 576,055.92 = 117,763.14 : x
  2. Step 2: Convert to fraction form
    383,963.58/576,055.92 = 117,763.14/x
  3. Step 3: Cross multiply
    383,963.58x = 576,055.92 × 117,763.14
  4. Step 4: Simplify right side
    383,963.58x = 67,838,153,954.79
  5. Step 5: Solve for x
    x = 67,838,153,954.79/383,963.58
  6. Step 6: Final answer
    x = 176,678.62

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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.