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Finding the Fourth Proportional to 292,415.52, 403,552.08 and 165,044.64

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Solution

The fourth proportional to 292,415.52, 403,552.08 and 165,044.64 is: 227,772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.52 : 403,552.08 = 165,044.64 : x
  2. Step 2: Convert to fraction form
    292,415.52/403,552.08 = 165,044.64/x
  3. Step 3: Cross multiply
    292,415.52x = 403,552.08 × 165,044.64
  4. Step 4: Simplify right side
    292,415.52x = 66,604,107,764.85
  5. Step 5: Solve for x
    x = 66,604,107,764.85/292,415.52
  6. Step 6: Final answer
    x = 227,772.14

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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.