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Finding the Fourth Proportional to 458,270.40, 686,822.40 and 221,102.40

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Solution

The fourth proportional to 458,270.40, 686,822.40 and 221,102.40 is: 331,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,270.40 : 686,822.40 = 221,102.40 : x
  2. Step 2: Convert to fraction form
    458,270.40/686,822.40 = 221,102.40/x
  3. Step 3: Cross multiply
    458,270.40x = 686,822.40 × 221,102.40
  4. Step 4: Simplify right side
    458,270.40x = 151,858,081,013.76
  5. Step 5: Solve for x
    x = 151,858,081,013.76/458,270.40
  6. Step 6: Final answer
    x = 331,372.22

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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.