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Finding the Fourth Proportional to 473,016.78, 709,530.44 and 157,473.18

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Solution

The fourth proportional to 473,016.78, 709,530.44 and 157,473.18 is: 236,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,016.78 : 709,530.44 = 157,473.18 : x
  2. Step 2: Convert to fraction form
    473,016.78/709,530.44 = 157,473.18/x
  3. Step 3: Cross multiply
    473,016.78x = 709,530.44 × 157,473.18
  4. Step 4: Simplify right side
    473,016.78x = 111,732,013,906.23
  5. Step 5: Solve for x
    x = 111,732,013,906.23/473,016.78
  6. Step 6: Final answer
    x = 236,211.52

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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.