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Finding the Fourth Proportional to 405,842.14, 608,902.76 and 181,357.53

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Solution

The fourth proportional to 405,842.14, 608,902.76 and 181,357.53 is: 272,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,842.14 : 608,902.76 = 181,357.53 : x
  2. Step 2: Convert to fraction form
    405,842.14/608,902.76 = 181,357.53/x
  3. Step 3: Cross multiply
    405,842.14x = 608,902.76 × 181,357.53
  4. Step 4: Simplify right side
    405,842.14x = 110,429,100,563.78
  5. Step 5: Solve for x
    x = 110,429,100,563.78/405,842.14
  6. Step 6: Final answer
    x = 272,098.66

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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.