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Finding the Fourth Proportional to 493,897.92, 740,950.56 and 161,448

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Solution

The fourth proportional to 493,897.92, 740,950.56 and 161,448 is: 242,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,897.92 : 740,950.56 = 161,448 : x
  2. Step 2: Convert to fraction form
    493,897.92/740,950.56 = 161,448/x
  3. Step 3: Cross multiply
    493,897.92x = 740,950.56 × 161,448
  4. Step 4: Simplify right side
    493,897.92x = 119,624,986,010.88
  5. Step 5: Solve for x
    x = 119,624,986,010.88/493,897.92
  6. Step 6: Final answer
    x = 242,205.89

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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.