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Finding the Fourth Proportional to 473,380.74, 709,808.40 and 157,665.42

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Solution

The fourth proportional to 473,380.74, 709,808.40 and 157,665.42 is: 236,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,380.74 : 709,808.40 = 157,665.42 : x
  2. Step 2: Convert to fraction form
    473,380.74/709,808.40 = 157,665.42/x
  3. Step 3: Cross multiply
    473,380.74x = 709,808.40 × 157,665.42
  4. Step 4: Simplify right side
    473,380.74x = 111,912,239,505.53
  5. Step 5: Solve for x
    x = 111,912,239,505.53/473,380.74
  6. Step 6: Final answer
    x = 236,410.63

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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.