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Finding the Fourth Proportional to 405,954.60, 608,931.90 and 169,218.60

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Solution

The fourth proportional to 405,954.60, 608,931.90 and 169,218.60 is: 253,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,954.60 : 608,931.90 = 169,218.60 : x
  2. Step 2: Convert to fraction form
    405,954.60/608,931.90 = 169,218.60/x
  3. Step 3: Cross multiply
    405,954.60x = 608,931.90 × 169,218.60
  4. Step 4: Simplify right side
    405,954.60x = 103,042,603,613.34
  5. Step 5: Solve for x
    x = 103,042,603,613.34/405,954.60
  6. Step 6: Final answer
    x = 253,827.90

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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.