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Finding the Fourth Proportional to 304,667,512.50, 457,000,272.45 and 110,578,669.14

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Solution

The fourth proportional to 304,667,512.50, 457,000,272.45 and 110,578,669.14 is: 165,867,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,667,512.50 : 457,000,272.45 = 110,578,669.14 : x
  2. Step 2: Convert to fraction form
    304,667,512.50/457,000,272.45 = 110,578,669.14/x
  3. Step 3: Cross multiply
    304,667,512.50x = 457,000,272.45 × 110,578,669.14
  4. Step 4: Simplify right side
    304,667,512.50x = 50,534,481,924,138,408
  5. Step 5: Solve for x
    x = 50,534,481,924,138,408/304,667,512.50
  6. Step 6: Final answer
    x = 165,867,642.10

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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.