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Finding the Fourth Proportional to 405,610.84, 608,451.54 and 106,090.12

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Solution

The fourth proportional to 405,610.84, 608,451.54 and 106,090.12 is: 159,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,610.84 : 608,451.54 = 106,090.12 : x
  2. Step 2: Convert to fraction form
    405,610.84/608,451.54 = 106,090.12/x
  3. Step 3: Cross multiply
    405,610.84x = 608,451.54 × 106,090.12
  4. Step 4: Simplify right side
    405,610.84x = 64,550,696,892.78
  5. Step 5: Solve for x
    x = 64,550,696,892.78/405,610.84
  6. Step 6: Final answer
    x = 159,144.41

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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.