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Finding the Fourth Proportional to 706,652.70, 974,837.34 and 419,969.94

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Solution

The fourth proportional to 706,652.70, 974,837.34 and 419,969.94 is: 579,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,652.70 : 974,837.34 = 419,969.94 : x
  2. Step 2: Convert to fraction form
    706,652.70/974,837.34 = 419,969.94/x
  3. Step 3: Cross multiply
    706,652.70x = 974,837.34 × 419,969.94
  4. Step 4: Simplify right side
    706,652.70x = 409,402,379,189.56
  5. Step 5: Solve for x
    x = 409,402,379,189.56/706,652.70
  6. Step 6: Final answer
    x = 579,354.44

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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.