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Finding the Fourth Proportional to 419,516.34, 628,713.96 and 153,026.34

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Solution

The fourth proportional to 419,516.34, 628,713.96 and 153,026.34 is: 229,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,516.34 : 628,713.96 = 153,026.34 : x
  2. Step 2: Convert to fraction form
    419,516.34/628,713.96 = 153,026.34/x
  3. Step 3: Cross multiply
    419,516.34x = 628,713.96 × 153,026.34
  4. Step 4: Simplify right side
    419,516.34x = 96,209,796,205.71
  5. Step 5: Solve for x
    x = 96,209,796,205.71/419,516.34
  6. Step 6: Final answer
    x = 229,335.04

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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.