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Finding the Fourth Proportional to 418,558.56, 628,232.40 and 152,576.16

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Solution

The fourth proportional to 418,558.56, 628,232.40 and 152,576.16 is: 229,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,558.56 : 628,232.40 = 152,576.16 : x
  2. Step 2: Convert to fraction form
    418,558.56/628,232.40 = 152,576.16/x
  3. Step 3: Cross multiply
    418,558.56x = 628,232.40 × 152,576.16
  4. Step 4: Simplify right side
    418,558.56x = 95,853,287,179.58
  5. Step 5: Solve for x
    x = 95,853,287,179.58/418,558.56
  6. Step 6: Final answer
    x = 229,008.07

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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.