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Finding the Fourth Proportional to 403,812.80, 605,719.20 and 193,342.40

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Solution

The fourth proportional to 403,812.80, 605,719.20 and 193,342.40 is: 290,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,812.80 : 605,719.20 = 193,342.40 : x
  2. Step 2: Convert to fraction form
    403,812.80/605,719.20 = 193,342.40/x
  3. Step 3: Cross multiply
    403,812.80x = 605,719.20 × 193,342.40
  4. Step 4: Simplify right side
    403,812.80x = 117,111,203,854.08
  5. Step 5: Solve for x
    x = 117,111,203,854.08/403,812.80
  6. Step 6: Final answer
    x = 290,013.60

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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.