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Finding the Fourth Proportional to 405,593.93, 608,344.42 and 106,103.42

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Solution

The fourth proportional to 405,593.93, 608,344.42 and 106,103.42 is: 159,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,593.93 : 608,344.42 = 106,103.42 : x
  2. Step 2: Convert to fraction form
    405,593.93/608,344.42 = 106,103.42/x
  3. Step 3: Cross multiply
    405,593.93x = 608,344.42 × 106,103.42
  4. Step 4: Simplify right side
    405,593.93x = 64,547,423,499.92
  5. Step 5: Solve for x
    x = 64,547,423,499.92/405,593.93
  6. Step 6: Final answer
    x = 159,142.97

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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.