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Finding the Fourth Proportional to 397,092.80, 596,330.40 and 210,468.80

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Solution

The fourth proportional to 397,092.80, 596,330.40 and 210,468.80 is: 316,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,092.80 : 596,330.40 = 210,468.80 : x
  2. Step 2: Convert to fraction form
    397,092.80/596,330.40 = 210,468.80/x
  3. Step 3: Cross multiply
    397,092.80x = 596,330.40 × 210,468.80
  4. Step 4: Simplify right side
    397,092.80x = 125,508,943,691.52
  5. Step 5: Solve for x
    x = 125,508,943,691.52/397,092.80
  6. Step 6: Final answer
    x = 316,069.55

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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.