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Finding the Fourth Proportional to 474,709.89, 712,063.04 and 194,227.05

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Solution

The fourth proportional to 474,709.89, 712,063.04 and 194,227.05 is: 291,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,709.89 : 712,063.04 = 194,227.05 : x
  2. Step 2: Convert to fraction form
    474,709.89/712,063.04 = 194,227.05/x
  3. Step 3: Cross multiply
    474,709.89x = 712,063.04 × 194,227.05
  4. Step 4: Simplify right side
    474,709.89x = 138,301,902,702.10
  5. Step 5: Solve for x
    x = 138,301,902,702.10/474,709.89
  6. Step 6: Final answer
    x = 291,339.84

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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.