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Finding the Fourth Proportional to 292,788, 404,047.44 and 158,652

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Solution

The fourth proportional to 292,788, 404,047.44 and 158,652 is: 218,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,788 : 404,047.44 = 158,652 : x
  2. Step 2: Convert to fraction form
    292,788/404,047.44 = 158,652/x
  3. Step 3: Cross multiply
    292,788x = 404,047.44 × 158,652
  4. Step 4: Simplify right side
    292,788x = 64,102,934,450.88
  5. Step 5: Solve for x
    x = 64,102,934,450.88/292,788
  6. Step 6: Final answer
    x = 218,939.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.