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Finding the Fourth Proportional to 292,402.32, 403,492.68 and 165,090.48

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Solution

The fourth proportional to 292,402.32, 403,492.68 and 165,090.48 is: 227,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,402.32 : 403,492.68 = 165,090.48 : x
  2. Step 2: Convert to fraction form
    292,402.32/403,492.68 = 165,090.48/x
  3. Step 3: Cross multiply
    292,402.32x = 403,492.68 × 165,090.48
  4. Step 4: Simplify right side
    292,402.32x = 66,612,800,217.69
  5. Step 5: Solve for x
    x = 66,612,800,217.69/292,402.32
  6. Step 6: Final answer
    x = 227,812.15

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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.