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Finding the Fourth Proportional to 292,284, 403,352.19 and 164,956.86

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Solution

The fourth proportional to 292,284, 403,352.19 and 164,956.86 is: 227,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284 : 403,352.19 = 164,956.86 : x
  2. Step 2: Convert to fraction form
    292,284/403,352.19 = 164,956.86/x
  3. Step 3: Cross multiply
    292,284x = 403,352.19 × 164,956.86
  4. Step 4: Simplify right side
    292,284x = 66,535,710,736.52
  5. Step 5: Solve for x
    x = 66,535,710,736.52/292,284
  6. Step 6: Final answer
    x = 227,640.62

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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.