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Finding the Fourth Proportional to 292,457.38, 403,592.21 and 158,321.38

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Solution

The fourth proportional to 292,457.38, 403,592.21 and 158,321.38 is: 218,484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,457.38 : 403,592.21 = 158,321.38 : x
  2. Step 2: Convert to fraction form
    292,457.38/403,592.21 = 158,321.38/x
  3. Step 3: Cross multiply
    292,457.38x = 403,592.21 × 158,321.38
  4. Step 4: Simplify right side
    292,457.38x = 63,897,275,644.45
  5. Step 5: Solve for x
    x = 63,897,275,644.45/292,457.38
  6. Step 6: Final answer
    x = 218,484.06

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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.