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Finding the Fourth Proportional to 405,506.61, 608,121.51 and 165,583.14

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Solution

The fourth proportional to 405,506.61, 608,121.51 and 165,583.14 is: 248,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,506.61 : 608,121.51 = 165,583.14 : x
  2. Step 2: Convert to fraction form
    405,506.61/608,121.51 = 165,583.14/x
  3. Step 3: Cross multiply
    405,506.61x = 608,121.51 × 165,583.14
  4. Step 4: Simplify right side
    405,506.61x = 100,694,669,127.34
  5. Step 5: Solve for x
    x = 100,694,669,127.34/405,506.61
  6. Step 6: Final answer
    x = 248,318.19

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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.