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Finding the Fourth Proportional to 403,419.20, 605,566.20 and 253,828.40

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Solution

The fourth proportional to 403,419.20, 605,566.20 and 253,828.40 is: 381,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419.20 : 605,566.20 = 253,828.40 : x
  2. Step 2: Convert to fraction form
    403,419.20/605,566.20 = 253,828.40/x
  3. Step 3: Cross multiply
    403,419.20x = 605,566.20 × 253,828.40
  4. Step 4: Simplify right side
    403,419.20x = 153,709,899,640.08
  5. Step 5: Solve for x
    x = 153,709,899,640.08/403,419.20
  6. Step 6: Final answer
    x = 381,017.81

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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.