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Finding the Fourth Proportional to 369,793.98, 510,278.31 and 214,691.58

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Solution

The fourth proportional to 369,793.98, 510,278.31 and 214,691.58 is: 296,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,793.98 : 510,278.31 = 214,691.58 : x
  2. Step 2: Convert to fraction form
    369,793.98/510,278.31 = 214,691.58/x
  3. Step 3: Cross multiply
    369,793.98x = 510,278.31 × 214,691.58
  4. Step 4: Simplify right side
    369,793.98x = 109,552,456,613.63
  5. Step 5: Solve for x
    x = 109,552,456,613.63/369,793.98
  6. Step 6: Final answer
    x = 296,252.68

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1.5x scale

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.