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Finding the Fourth Proportional to 413,876.52, 620,808.52 and 114,350.40

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Solution

The fourth proportional to 413,876.52, 620,808.52 and 114,350.40 is: 171,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,876.52 : 620,808.52 = 114,350.40 : x
  2. Step 2: Convert to fraction form
    413,876.52/620,808.52 = 114,350.40/x
  3. Step 3: Cross multiply
    413,876.52x = 620,808.52 × 114,350.40
  4. Step 4: Simplify right side
    413,876.52x = 70,989,702,585.41
  5. Step 5: Solve for x
    x = 70,989,702,585.41/413,876.52
  6. Step 6: Final answer
    x = 171,523.87

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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.