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Finding the Fourth Proportional to 517,462.88, 776,295.90 and 180,514.52

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Solution

The fourth proportional to 517,462.88, 776,295.90 and 180,514.52 is: 270,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,462.88 : 776,295.90 = 180,514.52 : x
  2. Step 2: Convert to fraction form
    517,462.88/776,295.90 = 180,514.52/x
  3. Step 3: Cross multiply
    517,462.88x = 776,295.90 × 180,514.52
  4. Step 4: Simplify right side
    517,462.88x = 140,132,685,162.76
  5. Step 5: Solve for x
    x = 140,132,685,162.76/517,462.88
  6. Step 6: Final answer
    x = 270,807.22

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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.