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Finding the Fourth Proportional to 475,498.92, 713,357.73 and 155,661.11

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Solution

The fourth proportional to 475,498.92, 713,357.73 and 155,661.11 is: 233,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,498.92 : 713,357.73 = 155,661.11 : x
  2. Step 2: Convert to fraction form
    475,498.92/713,357.73 = 155,661.11/x
  3. Step 3: Cross multiply
    475,498.92x = 713,357.73 × 155,661.11
  4. Step 4: Simplify right side
    475,498.92x = 111,042,052,512.09
  5. Step 5: Solve for x
    x = 111,042,052,512.09/475,498.92
  6. Step 6: Final answer
    x = 233,527.45

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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.