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Finding the Fourth Proportional to 405,841.14, 608,901.26 and 181,356.53

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Solution

The fourth proportional to 405,841.14, 608,901.26 and 181,356.53 is: 272,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,841.14 : 608,901.26 = 181,356.53 : x
  2. Step 2: Convert to fraction form
    405,841.14/608,901.26 = 181,356.53/x
  3. Step 3: Cross multiply
    405,841.14x = 608,901.26 × 181,356.53
  4. Step 4: Simplify right side
    405,841.14x = 110,428,215,674.94
  5. Step 5: Solve for x
    x = 110,428,215,674.94/405,841.14
  6. Step 6: Final answer
    x = 272,097.15

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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.