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Finding the Fourth Proportional to 309,027.15, 463,595.40 and 109,463.40

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Solution

The fourth proportional to 309,027.15, 463,595.40 and 109,463.40 is: 164,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,027.15 : 463,595.40 = 109,463.40 : x
  2. Step 2: Convert to fraction form
    309,027.15/463,595.40 = 109,463.40/x
  3. Step 3: Cross multiply
    309,027.15x = 463,595.40 × 109,463.40
  4. Step 4: Simplify right side
    309,027.15x = 50,746,728,708.36
  5. Step 5: Solve for x
    x = 50,746,728,708.36/309,027.15
  6. Step 6: Final answer
    x = 164,214.47

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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.