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Finding the Fourth Proportional to 456,496.32, 684,906.60 and 203,753.76

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Solution

The fourth proportional to 456,496.32, 684,906.60 and 203,753.76 is: 305,703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,496.32 : 684,906.60 = 203,753.76 : x
  2. Step 2: Convert to fraction form
    456,496.32/684,906.60 = 203,753.76/x
  3. Step 3: Cross multiply
    456,496.32x = 684,906.60 × 203,753.76
  4. Step 4: Simplify right side
    456,496.32x = 139,552,294,998.82
  5. Step 5: Solve for x
    x = 139,552,294,998.82/456,496.32
  6. Step 6: Final answer
    x = 305,703.00

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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.