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Finding the Fourth Proportional to 402,797.76, 604,157.58 and 122,317.44

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Solution

The fourth proportional to 402,797.76, 604,157.58 and 122,317.44 is: 183,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,797.76 : 604,157.58 = 122,317.44 : x
  2. Step 2: Convert to fraction form
    402,797.76/604,157.58 = 122,317.44/x
  3. Step 3: Cross multiply
    402,797.76x = 604,157.58 × 122,317.44
  4. Step 4: Simplify right side
    402,797.76x = 73,899,008,542.20
  5. Step 5: Solve for x
    x = 73,899,008,542.20/402,797.76
  6. Step 6: Final answer
    x = 183,464.30

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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.