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Finding the Fourth Proportional to 473,321.44, 653,016.24 and 303,647.20

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Solution

The fourth proportional to 473,321.44, 653,016.24 and 303,647.20 is: 418,925.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,321.44 : 653,016.24 = 303,647.20 : x
  2. Step 2: Convert to fraction form
    473,321.44/653,016.24 = 303,647.20/x
  3. Step 3: Cross multiply
    473,321.44x = 653,016.24 × 303,647.20
  4. Step 4: Simplify right side
    473,321.44x = 198,286,552,830.53
  5. Step 5: Solve for x
    x = 198,286,552,830.53/473,321.44
  6. Step 6: Final answer
    x = 418,925.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.