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Finding the Fourth Proportional to 403,169.16, 604,753.76 and 122,766.60

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Solution

The fourth proportional to 403,169.16, 604,753.76 and 122,766.60 is: 184,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,169.16 : 604,753.76 = 122,766.60 : x
  2. Step 2: Convert to fraction form
    403,169.16/604,753.76 = 122,766.60/x
  3. Step 3: Cross multiply
    403,169.16x = 604,753.76 × 122,766.60
  4. Step 4: Simplify right side
    403,169.16x = 74,243,562,952.42
  5. Step 5: Solve for x
    x = 74,243,562,952.42/403,169.16
  6. Step 6: Final answer
    x = 184,149.91

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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.