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Finding the Fourth Proportional to 475,698.27, 713,666.39 and 335,730.27

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Solution

The fourth proportional to 475,698.27, 713,666.39 and 335,730.27 is: 503,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,698.27 : 713,666.39 = 335,730.27 : x
  2. Step 2: Convert to fraction form
    475,698.27/713,666.39 = 335,730.27/x
  3. Step 3: Cross multiply
    475,698.27x = 713,666.39 × 335,730.27
  4. Step 4: Simplify right side
    475,698.27x = 239,599,408,125.97
  5. Step 5: Solve for x
    x = 239,599,408,125.97/475,698.27
  6. Step 6: Final answer
    x = 503,679.38

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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.