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Finding the Fourth Proportional to 552,711.40, 827,900.70 and 433,738.60

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Solution

The fourth proportional to 552,711.40, 827,900.70 and 433,738.60 is: 649,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,711.40 : 827,900.70 = 433,738.60 : x
  2. Step 2: Convert to fraction form
    552,711.40/827,900.70 = 433,738.60/x
  3. Step 3: Cross multiply
    552,711.40x = 827,900.70 × 433,738.60
  4. Step 4: Simplify right side
    552,711.40x = 359,092,490,557.02
  5. Step 5: Solve for x
    x = 359,092,490,557.02/552,711.40
  6. Step 6: Final answer
    x = 649,692.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.