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Finding the Fourth Proportional to 413,618.40, 620,427.60 and 114,145.20

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Solution

The fourth proportional to 413,618.40, 620,427.60 and 114,145.20 is: 171,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,618.40 : 620,427.60 = 114,145.20 : x
  2. Step 2: Convert to fraction form
    413,618.40/620,427.60 = 114,145.20/x
  3. Step 3: Cross multiply
    413,618.40x = 620,427.60 × 114,145.20
  4. Step 4: Simplify right side
    413,618.40x = 70,818,832,487.52
  5. Step 5: Solve for x
    x = 70,818,832,487.52/413,618.40
  6. Step 6: Final answer
    x = 171,217.80

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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.