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Finding the Fourth Proportional to 493,143.99, 739,707.93 and 156,184.13

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Solution

The fourth proportional to 493,143.99, 739,707.93 and 156,184.13 is: 234,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,143.99 : 739,707.93 = 156,184.13 : x
  2. Step 2: Convert to fraction form
    493,143.99/739,707.93 = 156,184.13/x
  3. Step 3: Cross multiply
    493,143.99x = 739,707.93 × 156,184.13
  4. Step 4: Simplify right side
    493,143.99x = 115,530,635,802.61
  5. Step 5: Solve for x
    x = 115,530,635,802.61/493,143.99
  6. Step 6: Final answer
    x = 234,273.64

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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.