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Finding the Fourth Proportional to 316,156.52, 473,902.63 and 196,213.24

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Solution

The fourth proportional to 316,156.52, 473,902.63 and 196,213.24 is: 294,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,156.52 : 473,902.63 = 196,213.24 : x
  2. Step 2: Convert to fraction form
    316,156.52/473,902.63 = 196,213.24/x
  3. Step 3: Cross multiply
    316,156.52x = 473,902.63 × 196,213.24
  4. Step 4: Simplify right side
    316,156.52x = 92,985,970,476.82
  5. Step 5: Solve for x
    x = 92,985,970,476.82/316,156.52
  6. Step 6: Final answer
    x = 294,113.72

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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.