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Finding the Fourth Proportional to 402,679.30, 604,022.58 and 122,196.55

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Solution

The fourth proportional to 402,679.30, 604,022.58 and 122,196.55 is: 183,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,679.30 : 604,022.58 = 122,196.55 : x
  2. Step 2: Convert to fraction form
    402,679.30/604,022.58 = 122,196.55/x
  3. Step 3: Cross multiply
    402,679.30x = 604,022.58 × 122,196.55
  4. Step 4: Simplify right side
    402,679.30x = 73,809,475,398.10
  5. Step 5: Solve for x
    x = 73,809,475,398.10/402,679.30
  6. Step 6: Final answer
    x = 183,295.93

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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.