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Finding the Fourth Proportional to 469,408.31, 704,401.56 and 185,050.47

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Solution

The fourth proportional to 469,408.31, 704,401.56 and 185,050.47 is: 277,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,408.31 : 704,401.56 = 185,050.47 : x
  2. Step 2: Convert to fraction form
    469,408.31/704,401.56 = 185,050.47/x
  3. Step 3: Cross multiply
    469,408.31x = 704,401.56 × 185,050.47
  4. Step 4: Simplify right side
    469,408.31x = 130,349,839,746.73
  5. Step 5: Solve for x
    x = 130,349,839,746.73/469,408.31
  6. Step 6: Final answer
    x = 277,689.68

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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.