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Finding the Fourth Proportional to 405,885.77, 608,832.74 and 181,257.58

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Solution

The fourth proportional to 405,885.77, 608,832.74 and 181,257.58 is: 271,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,885.77 : 608,832.74 = 181,257.58 : x
  2. Step 2: Convert to fraction form
    405,885.77/608,832.74 = 181,257.58/x
  3. Step 3: Cross multiply
    405,885.77x = 608,832.74 × 181,257.58
  4. Step 4: Simplify right side
    405,885.77x = 110,355,549,077.17
  5. Step 5: Solve for x
    x = 110,355,549,077.17/405,885.77
  6. Step 6: Final answer
    x = 271,888.19

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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.