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Finding the Fourth Proportional to 468,550.92, 702,981.90 and 153,018.12

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Solution

The fourth proportional to 468,550.92, 702,981.90 and 153,018.12 is: 229,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,550.92 : 702,981.90 = 153,018.12 : x
  2. Step 2: Convert to fraction form
    468,550.92/702,981.90 = 153,018.12/x
  3. Step 3: Cross multiply
    468,550.92x = 702,981.90 × 153,018.12
  4. Step 4: Simplify right side
    468,550.92x = 107,568,968,732.03
  5. Step 5: Solve for x
    x = 107,568,968,732.03/468,550.92
  6. Step 6: Final answer
    x = 229,577.97

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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.