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Finding the Fourth Proportional to 400,710.46, 601,370.37 and 148,229.74

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Solution

The fourth proportional to 400,710.46, 601,370.37 and 148,229.74 is: 222,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,710.46 : 601,370.37 = 148,229.74 : x
  2. Step 2: Convert to fraction form
    400,710.46/601,370.37 = 148,229.74/x
  3. Step 3: Cross multiply
    400,710.46x = 601,370.37 × 148,229.74
  4. Step 4: Simplify right side
    400,710.46x = 89,140,973,588.80
  5. Step 5: Solve for x
    x = 89,140,973,588.80/400,710.46
  6. Step 6: Final answer
    x = 222,457.32

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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.