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Finding the Fourth Proportional to 403,733.20, 605,599.80 and 377,294.80

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Solution

The fourth proportional to 403,733.20, 605,599.80 and 377,294.80 is: 565,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,733.20 : 605,599.80 = 377,294.80 : x
  2. Step 2: Convert to fraction form
    403,733.20/605,599.80 = 377,294.80/x
  3. Step 3: Cross multiply
    403,733.20x = 605,599.80 × 377,294.80
  4. Step 4: Simplify right side
    403,733.20x = 228,489,655,421.04
  5. Step 5: Solve for x
    x = 228,489,655,421.04/403,733.20
  6. Step 6: Final answer
    x = 565,942.20

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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.