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Finding the Fourth Proportional to 543,058.92, 814,415.58 and 227,457

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Solution

The fourth proportional to 543,058.92, 814,415.58 and 227,457 is: 341,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,058.92 : 814,415.58 = 227,457 : x
  2. Step 2: Convert to fraction form
    543,058.92/814,415.58 = 227,457/x
  3. Step 3: Cross multiply
    543,058.92x = 814,415.58 × 227,457
  4. Step 4: Simplify right side
    543,058.92x = 185,244,524,580.06
  5. Step 5: Solve for x
    x = 185,244,524,580.06/543,058.92
  6. Step 6: Final answer
    x = 341,113.12

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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.