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Finding the Fourth Proportional to 292,674, 403,890.24 and 158,538

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Solution

The fourth proportional to 292,674, 403,890.24 and 158,538 is: 218,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,674 : 403,890.24 = 158,538 : x
  2. Step 2: Convert to fraction form
    292,674/403,890.24 = 158,538/x
  3. Step 3: Cross multiply
    292,674x = 403,890.24 × 158,538
  4. Step 4: Simplify right side
    292,674x = 64,031,950,869.12
  5. Step 5: Solve for x
    x = 64,031,950,869.12/292,674
  6. Step 6: Final answer
    x = 218,782.51

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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.