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Finding the Fourth Proportional to 413,602.80, 620,447.40 and 114,083.52

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Solution

The fourth proportional to 413,602.80, 620,447.40 and 114,083.52 is: 171,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,602.80 : 620,447.40 = 114,083.52 : x
  2. Step 2: Convert to fraction form
    413,602.80/620,447.40 = 114,083.52/x
  3. Step 3: Cross multiply
    413,602.80x = 620,447.40 × 114,083.52
  4. Step 4: Simplify right side
    413,602.80x = 70,782,823,366.85
  5. Step 5: Solve for x
    x = 70,782,823,366.85/413,602.80
  6. Step 6: Final answer
    x = 171,137.20

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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.