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Finding the Fourth Proportional to 337,867, 466,271.04 and 186,964

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Solution

The fourth proportional to 337,867, 466,271.04 and 186,964 is: 258,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,867 : 466,271.04 = 186,964 : x
  2. Step 2: Convert to fraction form
    337,867/466,271.04 = 186,964/x
  3. Step 3: Cross multiply
    337,867x = 466,271.04 × 186,964
  4. Step 4: Simplify right side
    337,867x = 87,175,898,722.56
  5. Step 5: Solve for x
    x = 87,175,898,722.56/337,867
  6. Step 6: Final answer
    x = 258,018.39

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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.