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Finding the Fourth Proportional to 504,165.30, 706,356.30 and 504,165.30

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Solution

The fourth proportional to 504,165.30, 706,356.30 and 504,165.30 is: 706,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,165.30 : 706,356.30 = 504,165.30 : x
  2. Step 2: Convert to fraction form
    504,165.30/706,356.30 = 504,165.30/x
  3. Step 3: Cross multiply
    504,165.30x = 706,356.30 × 504,165.30
  4. Step 4: Simplify right side
    504,165.30x = 356,120,335,896.39
  5. Step 5: Solve for x
    x = 356,120,335,896.39/504,165.30
  6. Step 6: Final answer
    x = 706,356.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.