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Finding the Fourth Proportional to 474,708.89, 712,061.54 and 194,226.05

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Solution

The fourth proportional to 474,708.89, 712,061.54 and 194,226.05 is: 291,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,708.89 : 712,061.54 = 194,226.05 : x
  2. Step 2: Convert to fraction form
    474,708.89/712,061.54 = 194,226.05/x
  3. Step 3: Cross multiply
    474,708.89x = 712,061.54 × 194,226.05
  4. Step 4: Simplify right side
    474,708.89x = 138,300,899,299.99
  5. Step 5: Solve for x
    x = 138,300,899,299.99/474,708.89
  6. Step 6: Final answer
    x = 291,338.34

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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.