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Finding the Fourth Proportional to 292,977.50, 404,297.75 and 165,655.76

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Solution

The fourth proportional to 292,977.50, 404,297.75 and 165,655.76 is: 228,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,977.50 : 404,297.75 = 165,655.76 : x
  2. Step 2: Convert to fraction form
    292,977.50/404,297.75 = 165,655.76/x
  3. Step 3: Cross multiply
    292,977.50x = 404,297.75 × 165,655.76
  4. Step 4: Simplify right side
    292,977.50x = 66,974,250,214.26
  5. Step 5: Solve for x
    x = 66,974,250,214.26/292,977.50
  6. Step 6: Final answer
    x = 228,598.61

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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.