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Finding the Fourth Proportional to 604,222.56, 906,407.64 and 204,977.52

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Solution

The fourth proportional to 604,222.56, 906,407.64 and 204,977.52 is: 307,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,222.56 : 906,407.64 = 204,977.52 : x
  2. Step 2: Convert to fraction form
    604,222.56/906,407.64 = 204,977.52/x
  3. Step 3: Cross multiply
    604,222.56x = 906,407.64 × 204,977.52
  4. Step 4: Simplify right side
    604,222.56x = 185,793,190,156.25
  5. Step 5: Solve for x
    x = 185,793,190,156.25/604,222.56
  6. Step 6: Final answer
    x = 307,491.32

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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.