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Finding the Fourth Proportional to 344,781.78, 516,840.12 and 176,381.46

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Solution

The fourth proportional to 344,781.78, 516,840.12 and 176,381.46 is: 264,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,781.78 : 516,840.12 = 176,381.46 : x
  2. Step 2: Convert to fraction form
    344,781.78/516,840.12 = 176,381.46/x
  3. Step 3: Cross multiply
    344,781.78x = 516,840.12 × 176,381.46
  4. Step 4: Simplify right side
    344,781.78x = 91,161,014,952.18
  5. Step 5: Solve for x
    x = 91,161,014,952.18/344,781.78
  6. Step 6: Final answer
    x = 264,402.07

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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.