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Finding the Fourth Proportional to 475,853.41, 656,701.81 and 261,013.51

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Solution

The fourth proportional to 475,853.41, 656,701.81 and 261,013.51 is: 360,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,853.41 : 656,701.81 = 261,013.51 : x
  2. Step 2: Convert to fraction form
    475,853.41/656,701.81 = 261,013.51/x
  3. Step 3: Cross multiply
    475,853.41x = 656,701.81 × 261,013.51
  4. Step 4: Simplify right side
    475,853.41x = 171,408,046,419.48
  5. Step 5: Solve for x
    x = 171,408,046,419.48/475,853.41
  6. Step 6: Final answer
    x = 360,211.87

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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.