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Finding the Fourth Proportional to 292,333.92, 403,498.80 and 165,084

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Solution

The fourth proportional to 292,333.92, 403,498.80 and 165,084 is: 227,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,333.92 : 403,498.80 = 165,084 : x
  2. Step 2: Convert to fraction form
    292,333.92/403,498.80 = 165,084/x
  3. Step 3: Cross multiply
    292,333.92x = 403,498.80 × 165,084
  4. Step 4: Simplify right side
    292,333.92x = 66,611,195,899.20
  5. Step 5: Solve for x
    x = 66,611,195,899.20/292,333.92
  6. Step 6: Final answer
    x = 227,859.96

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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.