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Finding the Fourth Proportional to 272,003.10, 407,083.05 and 272,003.10

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Solution

The fourth proportional to 272,003.10, 407,083.05 and 272,003.10 is: 407,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,003.10 : 407,083.05 = 272,003.10 : x
  2. Step 2: Convert to fraction form
    272,003.10/407,083.05 = 272,003.10/x
  3. Step 3: Cross multiply
    272,003.10x = 407,083.05 × 272,003.10
  4. Step 4: Simplify right side
    272,003.10x = 110,727,851,557.46
  5. Step 5: Solve for x
    x = 110,727,851,557.46/272,003.10
  6. Step 6: Final answer
    x = 407,083.05

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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.