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Finding the Fourth Proportional to 262,473.57, 393,884.06 and 144,227.25

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Solution

The fourth proportional to 262,473.57, 393,884.06 and 144,227.25 is: 216,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,473.57 : 393,884.06 = 144,227.25 : x
  2. Step 2: Convert to fraction form
    262,473.57/393,884.06 = 144,227.25/x
  3. Step 3: Cross multiply
    262,473.57x = 393,884.06 × 144,227.25
  4. Step 4: Simplify right side
    262,473.57x = 56,808,814,071.50
  5. Step 5: Solve for x
    x = 56,808,814,071.50/262,473.57
  6. Step 6: Final answer
    x = 216,436.32

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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.