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Finding the Fourth Proportional to 646,760.52, 892,471.62 and 360,274.46

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Solution

The fourth proportional to 646,760.52, 892,471.62 and 360,274.46 is: 497,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,760.52 : 892,471.62 = 360,274.46 : x
  2. Step 2: Convert to fraction form
    646,760.52/892,471.62 = 360,274.46/x
  3. Step 3: Cross multiply
    646,760.52x = 892,471.62 × 360,274.46
  4. Step 4: Simplify right side
    646,760.52x = 321,534,730,960.83
  5. Step 5: Solve for x
    x = 321,534,730,960.83/646,760.52
  6. Step 6: Final answer
    x = 497,146.50

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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.