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Finding the Fourth Proportional to 535,651.16, 739,198.15 and 293,948.92

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Solution

The fourth proportional to 535,651.16, 739,198.15 and 293,948.92 is: 405,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,651.16 : 739,198.15 = 293,948.92 : x
  2. Step 2: Convert to fraction form
    535,651.16/739,198.15 = 293,948.92/x
  3. Step 3: Cross multiply
    535,651.16x = 739,198.15 × 293,948.92
  4. Step 4: Simplify right side
    535,651.16x = 217,286,495,275.63
  5. Step 5: Solve for x
    x = 217,286,495,275.63/535,651.16
  6. Step 6: Final answer
    x = 405,649.26

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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.