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Finding the Fourth Proportional to 706,477.50, 974,964.60 and 404,729.82

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Solution

The fourth proportional to 706,477.50, 974,964.60 and 404,729.82 is: 558,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,477.50 : 974,964.60 = 404,729.82 : x
  2. Step 2: Convert to fraction form
    706,477.50/974,964.60 = 404,729.82/x
  3. Step 3: Cross multiply
    706,477.50x = 974,964.60 × 404,729.82
  4. Step 4: Simplify right side
    706,477.50x = 394,597,247,064.37
  5. Step 5: Solve for x
    x = 394,597,247,064.37/706,477.50
  6. Step 6: Final answer
    x = 558,541.85

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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.