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Finding the Fourth Proportional to 408,801.40, 613,202.10 and 159,483.40

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Solution

The fourth proportional to 408,801.40, 613,202.10 and 159,483.40 is: 239,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,801.40 : 613,202.10 = 159,483.40 : x
  2. Step 2: Convert to fraction form
    408,801.40/613,202.10 = 159,483.40/x
  3. Step 3: Cross multiply
    408,801.40x = 613,202.10 × 159,483.40
  4. Step 4: Simplify right side
    408,801.40x = 97,795,555,795.14
  5. Step 5: Solve for x
    x = 97,795,555,795.14/408,801.40
  6. Step 6: Final answer
    x = 239,225.10

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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.