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Finding the Fourth Proportional to 344,039.60, 516,204.84 and 166,678.40

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Solution

The fourth proportional to 344,039.60, 516,204.84 and 166,678.40 is: 250,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,039.60 : 516,204.84 = 166,678.40 : x
  2. Step 2: Convert to fraction form
    344,039.60/516,204.84 = 166,678.40/x
  3. Step 3: Cross multiply
    344,039.60x = 516,204.84 × 166,678.40
  4. Step 4: Simplify right side
    344,039.60x = 86,040,196,803.46
  5. Step 5: Solve for x
    x = 86,040,196,803.46/344,039.60
  6. Step 6: Final answer
    x = 250,088.06

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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.