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Finding the Fourth Proportional to 431,364.30, 647,046.45 and 355,256.70

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Solution

The fourth proportional to 431,364.30, 647,046.45 and 355,256.70 is: 532,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364.30 : 647,046.45 = 355,256.70 : x
  2. Step 2: Convert to fraction form
    431,364.30/647,046.45 = 355,256.70/x
  3. Step 3: Cross multiply
    431,364.30x = 647,046.45 × 355,256.70
  4. Step 4: Simplify right side
    431,364.30x = 229,867,586,573.72
  5. Step 5: Solve for x
    x = 229,867,586,573.72/431,364.30
  6. Step 6: Final answer
    x = 532,885.05

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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.