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Finding the Fourth Proportional to 431,197.31, 594,733.52 and 316,437.19

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Solution

The fourth proportional to 431,197.31, 594,733.52 and 316,437.19 is: 436,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,197.31 : 594,733.52 = 316,437.19 : x
  2. Step 2: Convert to fraction form
    431,197.31/594,733.52 = 316,437.19/x
  3. Step 3: Cross multiply
    431,197.31x = 594,733.52 × 316,437.19
  4. Step 4: Simplify right side
    431,197.31x = 188,195,803,171.87
  5. Step 5: Solve for x
    x = 188,195,803,171.87/431,197.31
  6. Step 6: Final answer
    x = 436,449.39

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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.