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Finding the Fourth Proportional to 514,702.82, 772,151.30 and 194,950.41

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Solution

The fourth proportional to 514,702.82, 772,151.30 and 194,950.41 is: 292,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,702.82 : 772,151.30 = 194,950.41 : x
  2. Step 2: Convert to fraction form
    514,702.82/772,151.30 = 194,950.41/x
  3. Step 3: Cross multiply
    514,702.82x = 772,151.30 × 194,950.41
  4. Step 4: Simplify right side
    514,702.82x = 150,531,211,542.28
  5. Step 5: Solve for x
    x = 150,531,211,542.28/514,702.82
  6. Step 6: Final answer
    x = 292,462.38

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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.