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Finding the Fourth Proportional to 604,228.60, 906,314.10 and 204,830.20

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Solution

The fourth proportional to 604,228.60, 906,314.10 and 204,830.20 is: 307,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,228.60 : 906,314.10 = 204,830.20 : x
  2. Step 2: Convert to fraction form
    604,228.60/906,314.10 = 204,830.20/x
  3. Step 3: Cross multiply
    604,228.60x = 906,314.10 × 204,830.20
  4. Step 4: Simplify right side
    604,228.60x = 185,640,498,365.82
  5. Step 5: Solve for x
    x = 185,640,498,365.82/604,228.60
  6. Step 6: Final answer
    x = 307,235.54

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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.