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Finding the Fourth Proportional to 292,287, 403,356.34 and 164,959.86

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Solution

The fourth proportional to 292,287, 403,356.34 and 164,959.86 is: 227,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,287 : 403,356.34 = 164,959.86 : x
  2. Step 2: Convert to fraction form
    292,287/403,356.34 = 164,959.86/x
  3. Step 3: Cross multiply
    292,287x = 403,356.34 × 164,959.86
  4. Step 4: Simplify right side
    292,287x = 66,537,605,376.51
  5. Step 5: Solve for x
    x = 66,537,605,376.51/292,287
  6. Step 6: Final answer
    x = 227,644.76

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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.