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Finding the Fourth Proportional to 472,060.32, 707,250.89 and 271,967.25

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Solution

The fourth proportional to 472,060.32, 707,250.89 and 271,967.25 is: 407,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,060.32 : 707,250.89 = 271,967.25 : x
  2. Step 2: Convert to fraction form
    472,060.32/707,250.89 = 271,967.25/x
  3. Step 3: Cross multiply
    472,060.32x = 707,250.89 × 271,967.25
  4. Step 4: Simplify right side
    472,060.32x = 192,349,078,253.52
  5. Step 5: Solve for x
    x = 192,349,078,253.52/472,060.32
  6. Step 6: Final answer
    x = 407,467.16

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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.