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Finding the Fourth Proportional to 284,574.87, 427,107.74 and 158,341.23

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Solution

The fourth proportional to 284,574.87, 427,107.74 and 158,341.23 is: 237,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,574.87 : 427,107.74 = 158,341.23 : x
  2. Step 2: Convert to fraction form
    284,574.87/427,107.74 = 158,341.23/x
  3. Step 3: Cross multiply
    284,574.87x = 427,107.74 × 158,341.23
  4. Step 4: Simplify right side
    284,574.87x = 67,628,764,102.41
  5. Step 5: Solve for x
    x = 67,628,764,102.41/284,574.87
  6. Step 6: Final answer
    x = 237,648.41

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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.