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Finding the Fourth Proportional to 706,887.84, 975,133.44 and 420,204

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Solution

The fourth proportional to 706,887.84, 975,133.44 and 420,204 is: 579,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,887.84 : 975,133.44 = 420,204 : x
  2. Step 2: Convert to fraction form
    706,887.84/975,133.44 = 420,204/x
  3. Step 3: Cross multiply
    706,887.84x = 975,133.44 × 420,204
  4. Step 4: Simplify right side
    706,887.84x = 409,754,972,021.76
  5. Step 5: Solve for x
    x = 409,754,972,021.76/706,887.84
  6. Step 6: Final answer
    x = 579,660.52

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