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Finding the Fourth Proportional to 706,232.40, 974,604.60 and 415,856.52

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Solution

The fourth proportional to 706,232.40, 974,604.60 and 415,856.52 is: 573,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,232.40 : 974,604.60 = 415,856.52 : x
  2. Step 2: Convert to fraction form
    706,232.40/974,604.60 = 415,856.52/x
  3. Step 3: Cross multiply
    706,232.40x = 974,604.60 × 415,856.52
  4. Step 4: Simplify right side
    706,232.40x = 405,295,677,331.99
  5. Step 5: Solve for x
    x = 405,295,677,331.99/706,232.40
  6. Step 6: Final answer
    x = 573,884.29

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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.