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Finding the Fourth Proportional to 538,737.83, 743,491.61 and 297,019.96

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Solution

The fourth proportional to 538,737.83, 743,491.61 and 297,019.96 is: 409,905.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,737.83 : 743,491.61 = 297,019.96 : x
  2. Step 2: Convert to fraction form
    538,737.83/743,491.61 = 297,019.96/x
  3. Step 3: Cross multiply
    538,737.83x = 743,491.61 × 297,019.96
  4. Step 4: Simplify right side
    538,737.83x = 220,831,850,214.67
  5. Step 5: Solve for x
    x = 220,831,850,214.67/538,737.83
  6. Step 6: Final answer
    x = 409,905.96

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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.