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Finding the Fourth Proportional to 404,294.40, 606,441.60 and 278,323.20

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Solution

The fourth proportional to 404,294.40, 606,441.60 and 278,323.20 is: 417,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,294.40 : 606,441.60 = 278,323.20 : x
  2. Step 2: Convert to fraction form
    404,294.40/606,441.60 = 278,323.20/x
  3. Step 3: Cross multiply
    404,294.40x = 606,441.60 × 278,323.20
  4. Step 4: Simplify right side
    404,294.40x = 168,786,766,725.12
  5. Step 5: Solve for x
    x = 168,786,766,725.12/404,294.40
  6. Step 6: Final answer
    x = 417,484.80

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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.