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Finding the Fourth Proportional to 413,557.90, 620,336.85 and 114,084.70

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Solution

The fourth proportional to 413,557.90, 620,336.85 and 114,084.70 is: 171,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,557.90 : 620,336.85 = 114,084.70 : x
  2. Step 2: Convert to fraction form
    413,557.90/620,336.85 = 114,084.70/x
  3. Step 3: Cross multiply
    413,557.90x = 620,336.85 × 114,084.70
  4. Step 4: Simplify right side
    413,557.90x = 70,770,943,431.20
  5. Step 5: Solve for x
    x = 70,770,943,431.20/413,557.90
  6. Step 6: Final answer
    x = 171,127.05

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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.