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Finding the Fourth Proportional to 1,257,624, 1,735,652.34 and 713,906.64

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Solution

The fourth proportional to 1,257,624, 1,735,652.34 and 713,906.64 is: 985,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,624 : 1,735,652.34 = 713,906.64 : x
  2. Step 2: Convert to fraction form
    1,257,624/1,735,652.34 = 713,906.64/x
  3. Step 3: Cross multiply
    1,257,624x = 1,735,652.34 × 713,906.64
  4. Step 4: Simplify right side
    1,257,624x = 1,239,093,730,257.54
  5. Step 5: Solve for x
    x = 1,239,093,730,257.54/1,257,624
  6. Step 6: Final answer
    x = 985,265.65

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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.