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Finding the Fourth Proportional to 214,808.70, 322,557.30 and 170,801.40

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Solution

The fourth proportional to 214,808.70, 322,557.30 and 170,801.40 is: 256,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,808.70 : 322,557.30 = 170,801.40 : x
  2. Step 2: Convert to fraction form
    214,808.70/322,557.30 = 170,801.40/x
  3. Step 3: Cross multiply
    214,808.70x = 322,557.30 × 170,801.40
  4. Step 4: Simplify right side
    214,808.70x = 55,093,238,420.22
  5. Step 5: Solve for x
    x = 55,093,238,420.22/214,808.70
  6. Step 6: Final answer
    x = 256,475.82

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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.