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Finding the Fourth Proportional to 403,432.96, 605,150.72 and 122,949.12

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Solution

The fourth proportional to 403,432.96, 605,150.72 and 122,949.12 is: 184,424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,432.96 : 605,150.72 = 122,949.12 : x
  2. Step 2: Convert to fraction form
    403,432.96/605,150.72 = 122,949.12/x
  3. Step 3: Cross multiply
    403,432.96x = 605,150.72 × 122,949.12
  4. Step 4: Simplify right side
    403,432.96x = 74,402,748,491.37
  5. Step 5: Solve for x
    x = 74,402,748,491.37/403,432.96
  6. Step 6: Final answer
    x = 184,424.07

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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.