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Finding the Fourth Proportional to 292,381.74, 403,486.74 and 165,057.33

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Solution

The fourth proportional to 292,381.74, 403,486.74 and 165,057.33 is: 227,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,381.74 : 403,486.74 = 165,057.33 : x
  2. Step 2: Convert to fraction form
    292,381.74/403,486.74 = 165,057.33/x
  3. Step 3: Cross multiply
    292,381.74x = 403,486.74 × 165,057.33
  4. Step 4: Simplify right side
    292,381.74x = 66,598,443,994.80
  5. Step 5: Solve for x
    x = 66,598,443,994.80/292,381.74
  6. Step 6: Final answer
    x = 227,779.08

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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.