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Finding the Fourth Proportional to 511,834.17, 706,221.66 and 294,069.51

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Solution

The fourth proportional to 511,834.17, 706,221.66 and 294,069.51 is: 405,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,834.17 : 706,221.66 = 294,069.51 : x
  2. Step 2: Convert to fraction form
    511,834.17/706,221.66 = 294,069.51/x
  3. Step 3: Cross multiply
    511,834.17x = 706,221.66 × 294,069.51
  4. Step 4: Simplify right side
    511,834.17x = 207,678,257,507.59
  5. Step 5: Solve for x
    x = 207,678,257,507.59/511,834.17
  6. Step 6: Final answer
    x = 405,753.01

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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.