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Finding the Fourth Proportional to 473,944.62, 653,980.41 and 304,408.38

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Solution

The fourth proportional to 473,944.62, 653,980.41 and 304,408.38 is: 420,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,944.62 : 653,980.41 = 304,408.38 : x
  2. Step 2: Convert to fraction form
    473,944.62/653,980.41 = 304,408.38/x
  3. Step 3: Cross multiply
    473,944.62x = 653,980.41 × 304,408.38
  4. Step 4: Simplify right side
    473,944.62x = 199,077,117,159.84
  5. Step 5: Solve for x
    x = 199,077,117,159.84/473,944.62
  6. Step 6: Final answer
    x = 420,042.99

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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.