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Finding the Fourth Proportional to 403,606.60, 604,977.90 and 137,120.20

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Solution

The fourth proportional to 403,606.60, 604,977.90 and 137,120.20 is: 205,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,606.60 : 604,977.90 = 137,120.20 : x
  2. Step 2: Convert to fraction form
    403,606.60/604,977.90 = 137,120.20/x
  3. Step 3: Cross multiply
    403,606.60x = 604,977.90 × 137,120.20
  4. Step 4: Simplify right side
    403,606.60x = 82,954,690,643.58
  5. Step 5: Solve for x
    x = 82,954,690,643.58/403,606.60
  6. Step 6: Final answer
    x = 205,533.53

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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.