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Finding the Fourth Proportional to 397,710.88, 596,274.72 and 187,234

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Solution

The fourth proportional to 397,710.88, 596,274.72 and 187,234 is: 280,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,710.88 : 596,274.72 = 187,234 : x
  2. Step 2: Convert to fraction form
    397,710.88/596,274.72 = 187,234/x
  3. Step 3: Cross multiply
    397,710.88x = 596,274.72 × 187,234
  4. Step 4: Simplify right side
    397,710.88x = 111,642,900,924.48
  5. Step 5: Solve for x
    x = 111,642,900,924.48/397,710.88
  6. Step 6: Final answer
    x = 280,713.72

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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.