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Finding the Fourth Proportional to 403,816.80, 605,725.20 and 193,346.40

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Solution

The fourth proportional to 403,816.80, 605,725.20 and 193,346.40 is: 290,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,816.80 : 605,725.20 = 193,346.40 : x
  2. Step 2: Convert to fraction form
    403,816.80/605,725.20 = 193,346.40/x
  3. Step 3: Cross multiply
    403,816.80x = 605,725.20 × 193,346.40
  4. Step 4: Simplify right side
    403,816.80x = 117,114,786,809.28
  5. Step 5: Solve for x
    x = 117,114,786,809.28/403,816.80
  6. Step 6: Final answer
    x = 290,019.60

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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.