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Finding the Fourth Proportional to 292,279, 403,345.30 and 164,951.86

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Solution

The fourth proportional to 292,279, 403,345.30 and 164,951.86 is: 227,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,279 : 403,345.30 = 164,951.86 : x
  2. Step 2: Convert to fraction form
    292,279/403,345.30 = 164,951.86/x
  3. Step 3: Cross multiply
    292,279x = 403,345.30 × 164,951.86
  4. Step 4: Simplify right side
    292,279x = 66,532,557,457.26
  5. Step 5: Solve for x
    x = 66,532,557,457.26/292,279
  6. Step 6: Final answer
    x = 227,633.72

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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.