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Finding the Fourth Proportional to 504,216.80, 706,428.40 and 504,216.80

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Solution

The fourth proportional to 504,216.80, 706,428.40 and 504,216.80 is: 706,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,216.80 : 706,428.40 = 504,216.80 : x
  2. Step 2: Convert to fraction form
    504,216.80/706,428.40 = 504,216.80/x
  3. Step 3: Cross multiply
    504,216.80x = 706,428.40 × 504,216.80
  4. Step 4: Simplify right side
    504,216.80x = 356,193,067,277.12
  5. Step 5: Solve for x
    x = 356,193,067,277.12/504,216.80
  6. Step 6: Final answer
    x = 706,428.40

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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.