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Finding the Fourth Proportional to 292,463.46, 403,596.18 and 165,144.42

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Solution

The fourth proportional to 292,463.46, 403,596.18 and 165,144.42 is: 227,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,463.46 : 403,596.18 = 165,144.42 : x
  2. Step 2: Convert to fraction form
    292,463.46/403,596.18 = 165,144.42/x
  3. Step 3: Cross multiply
    292,463.46x = 403,596.18 × 165,144.42
  4. Step 4: Simplify right side
    292,463.46x = 66,651,657,060.32
  5. Step 5: Solve for x
    x = 66,651,657,060.32/292,463.46
  6. Step 6: Final answer
    x = 227,897.38

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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.