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Finding the Fourth Proportional to 407,486.40, 610,792.20 and 154,669.20

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Solution

The fourth proportional to 407,486.40, 610,792.20 and 154,669.20 is: 231,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,486.40 : 610,792.20 = 154,669.20 : x
  2. Step 2: Convert to fraction form
    407,486.40/610,792.20 = 154,669.20/x
  3. Step 3: Cross multiply
    407,486.40x = 610,792.20 × 154,669.20
  4. Step 4: Simplify right side
    407,486.40x = 94,470,740,940.24
  5. Step 5: Solve for x
    x = 94,470,740,940.24/407,486.40
  6. Step 6: Final answer
    x = 231,837.78

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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.