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Finding the Fourth Proportional to 435,691.44, 601,319.16 and 313,587.59

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Solution

The fourth proportional to 435,691.44, 601,319.16 and 313,587.59 is: 432,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,691.44 : 601,319.16 = 313,587.59 : x
  2. Step 2: Convert to fraction form
    435,691.44/601,319.16 = 313,587.59/x
  3. Step 3: Cross multiply
    435,691.44x = 601,319.16 × 313,587.59
  4. Step 4: Simplify right side
    435,691.44x = 188,566,223,198.63
  5. Step 5: Solve for x
    x = 188,566,223,198.63/435,691.44
  6. Step 6: Final answer
    x = 432,797.63

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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.