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Finding the Fourth Proportional to 363,297.47, 501,370.16 and 202,156.00

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Solution

The fourth proportional to 363,297.47, 501,370.16 and 202,156.00 is: 278,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,297.47 : 501,370.16 = 202,156.00 : x
  2. Step 2: Convert to fraction form
    363,297.47/501,370.16 = 202,156.00/x
  3. Step 3: Cross multiply
    363,297.47x = 501,370.16 × 202,156.00
  4. Step 4: Simplify right side
    363,297.47x = 101,354,983,800.76
  5. Step 5: Solve for x
    x = 101,354,983,800.76/363,297.47
  6. Step 6: Final answer
    x = 278,986.21

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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.