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Finding the Fourth Proportional to 404,643.20, 606,235.80 and 193,816.40

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Solution

The fourth proportional to 404,643.20, 606,235.80 and 193,816.40 is: 290,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,643.20 : 606,235.80 = 193,816.40 : x
  2. Step 2: Convert to fraction form
    404,643.20/606,235.80 = 193,816.40/x
  3. Step 3: Cross multiply
    404,643.20x = 606,235.80 × 193,816.40
  4. Step 4: Simplify right side
    404,643.20x = 117,498,440,307.12
  5. Step 5: Solve for x
    x = 117,498,440,307.12/404,643.20
  6. Step 6: Final answer
    x = 290,375.42

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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.