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Finding the Fourth Proportional to 521,808.90, 719,778 and 344,998.71

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Solution

The fourth proportional to 521,808.90, 719,778 and 344,998.71 is: 475,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,808.90 : 719,778 = 344,998.71 : x
  2. Step 2: Convert to fraction form
    521,808.90/719,778 = 344,998.71/x
  3. Step 3: Cross multiply
    521,808.90x = 719,778 × 344,998.71
  4. Step 4: Simplify right side
    521,808.90x = 248,322,481,486.38
  5. Step 5: Solve for x
    x = 248,322,481,486.38/521,808.90
  6. Step 6: Final answer
    x = 475,887.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.