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Finding the Fourth Proportional to 456,663.92, 685,008.18 and 203,884.98

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Solution

The fourth proportional to 456,663.92, 685,008.18 and 203,884.98 is: 305,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,663.92 : 685,008.18 = 203,884.98 : x
  2. Step 2: Convert to fraction form
    456,663.92/685,008.18 = 203,884.98/x
  3. Step 3: Cross multiply
    456,663.92x = 685,008.18 × 203,884.98
  4. Step 4: Simplify right side
    456,663.92x = 139,662,879,079.14
  5. Step 5: Solve for x
    x = 139,662,879,079.14/456,663.92
  6. Step 6: Final answer
    x = 305,832.96

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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.