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Finding the Fourth Proportional to 291,705.40, 437,606.70 and 114,218.20

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Solution

The fourth proportional to 291,705.40, 437,606.70 and 114,218.20 is: 171,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705.40 : 437,606.70 = 114,218.20 : x
  2. Step 2: Convert to fraction form
    291,705.40/437,606.70 = 114,218.20/x
  3. Step 3: Cross multiply
    291,705.40x = 437,606.70 × 114,218.20
  4. Step 4: Simplify right side
    291,705.40x = 49,982,649,581.94
  5. Step 5: Solve for x
    x = 49,982,649,581.94/291,705.40
  6. Step 6: Final answer
    x = 171,346.33

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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.