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Finding the Fourth Proportional to 405,697.20, 608,545.80 and 184,513.20

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Solution

The fourth proportional to 405,697.20, 608,545.80 and 184,513.20 is: 276,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,697.20 : 608,545.80 = 184,513.20 : x
  2. Step 2: Convert to fraction form
    405,697.20/608,545.80 = 184,513.20/x
  3. Step 3: Cross multiply
    405,697.20x = 608,545.80 × 184,513.20
  4. Step 4: Simplify right side
    405,697.20x = 112,284,732,904.56
  5. Step 5: Solve for x
    x = 112,284,732,904.56/405,697.20
  6. Step 6: Final answer
    x = 276,769.80

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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.