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Finding the Fourth Proportional to 469,098.63, 703,648.15 and 114,110.46

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Solution

The fourth proportional to 469,098.63, 703,648.15 and 114,110.46 is: 171,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,098.63 : 703,648.15 = 114,110.46 : x
  2. Step 2: Convert to fraction form
    469,098.63/703,648.15 = 114,110.46/x
  3. Step 3: Cross multiply
    469,098.63x = 703,648.15 × 114,110.46
  4. Step 4: Simplify right side
    469,098.63x = 80,293,613,789.37
  5. Step 5: Solve for x
    x = 80,293,613,789.37/469,098.63
  6. Step 6: Final answer
    x = 171,165.74

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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.