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Finding the Fourth Proportional to 413,592.74, 620,432.25 and 114,073.37

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Solution

The fourth proportional to 413,592.74, 620,432.25 and 114,073.37 is: 171,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,592.74 : 620,432.25 = 114,073.37 : x
  2. Step 2: Convert to fraction form
    413,592.74/620,432.25 = 114,073.37/x
  3. Step 3: Cross multiply
    413,592.74x = 620,432.25 × 114,073.37
  4. Step 4: Simplify right side
    413,592.74x = 70,774,798,880.08
  5. Step 5: Solve for x
    x = 70,774,798,880.08/413,592.74
  6. Step 6: Final answer
    x = 171,121.96

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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.