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Finding the Fourth Proportional to 475,183.76, 712,882.01 and 159,632.06

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Solution

The fourth proportional to 475,183.76, 712,882.01 and 159,632.06 is: 239,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,183.76 : 712,882.01 = 159,632.06 : x
  2. Step 2: Convert to fraction form
    475,183.76/712,882.01 = 159,632.06/x
  3. Step 3: Cross multiply
    475,183.76x = 712,882.01 × 159,632.06
  4. Step 4: Simplify right side
    475,183.76x = 113,798,819,430.67
  5. Step 5: Solve for x
    x = 113,798,819,430.67/475,183.76
  6. Step 6: Final answer
    x = 239,483.82

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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.