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Finding the Fourth Proportional to 654,233.60, 985,803.26 and 538,500.80

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Solution

The fourth proportional to 654,233.60, 985,803.26 and 538,500.80 is: 811,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,233.60 : 985,803.26 = 538,500.80 : x
  2. Step 2: Convert to fraction form
    654,233.60/985,803.26 = 538,500.80/x
  3. Step 3: Cross multiply
    654,233.60x = 985,803.26 × 538,500.80
  4. Step 4: Simplify right side
    654,233.60x = 530,855,844,152.61
  5. Step 5: Solve for x
    x = 530,855,844,152.61/654,233.60
  6. Step 6: Final answer
    x = 811,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.