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Finding the Fourth Proportional to 403,298.78, 604,857.44 and 118,928.30

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Solution

The fourth proportional to 403,298.78, 604,857.44 and 118,928.30 is: 178,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,298.78 : 604,857.44 = 118,928.30 : x
  2. Step 2: Convert to fraction form
    403,298.78/604,857.44 = 118,928.30/x
  3. Step 3: Cross multiply
    403,298.78x = 604,857.44 × 118,928.30
  4. Step 4: Simplify right side
    403,298.78x = 71,934,667,081.55
  5. Step 5: Solve for x
    x = 71,934,667,081.55/403,298.78
  6. Step 6: Final answer
    x = 178,365.69

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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.