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Finding the Fourth Proportional to 292,714.72, 403,954.24 and 165,387.60

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Solution

The fourth proportional to 292,714.72, 403,954.24 and 165,387.60 is: 228,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,714.72 : 403,954.24 = 165,387.60 : x
  2. Step 2: Convert to fraction form
    292,714.72/403,954.24 = 165,387.60/x
  3. Step 3: Cross multiply
    292,714.72x = 403,954.24 × 165,387.60
  4. Step 4: Simplify right side
    292,714.72x = 66,809,022,263.42
  5. Step 5: Solve for x
    x = 66,809,022,263.42/292,714.72
  6. Step 6: Final answer
    x = 228,239.37

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1.5x scale

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.