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Finding the Fourth Proportional to 292,760, 404,009.10 and 158,624

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Solution

The fourth proportional to 292,760, 404,009.10 and 158,624 is: 218,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,760 : 404,009.10 = 158,624 : x
  2. Step 2: Convert to fraction form
    292,760/404,009.10 = 158,624/x
  3. Step 3: Cross multiply
    292,760x = 404,009.10 × 158,624
  4. Step 4: Simplify right side
    292,760x = 64,085,539,478.40
  5. Step 5: Solve for x
    x = 64,085,539,478.40/292,760
  6. Step 6: Final answer
    x = 218,901.28

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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.