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Finding the Fourth Proportional to 512,036.52, 768,055.17 and 175,079.72

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Solution

The fourth proportional to 512,036.52, 768,055.17 and 175,079.72 is: 262,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,036.52 : 768,055.17 = 175,079.72 : x
  2. Step 2: Convert to fraction form
    512,036.52/768,055.17 = 175,079.72/x
  3. Step 3: Cross multiply
    512,036.52x = 768,055.17 × 175,079.72
  4. Step 4: Simplify right side
    512,036.52x = 134,470,880,267.88
  5. Step 5: Solve for x
    x = 134,470,880,267.88/512,036.52
  6. Step 6: Final answer
    x = 262,619.71

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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.