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Finding the Fourth Proportional to 497,204.94, 745,308 and 159,997.74

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Solution

The fourth proportional to 497,204.94, 745,308 and 159,997.74 is: 239,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,204.94 : 745,308 = 159,997.74 : x
  2. Step 2: Convert to fraction form
    497,204.94/745,308 = 159,997.74/x
  3. Step 3: Cross multiply
    497,204.94x = 745,308 × 159,997.74
  4. Step 4: Simplify right side
    497,204.94x = 119,247,595,603.92
  5. Step 5: Solve for x
    x = 119,247,595,603.92/497,204.94
  6. Step 6: Final answer
    x = 239,835.90

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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.