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Finding the Fourth Proportional to 382,403.38, 527,729.56 and 210,334.66

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Solution

The fourth proportional to 382,403.38, 527,729.56 and 210,334.66 is: 290,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,403.38 : 527,729.56 = 210,334.66 : x
  2. Step 2: Convert to fraction form
    382,403.38/527,729.56 = 210,334.66/x
  3. Step 3: Cross multiply
    382,403.38x = 527,729.56 × 210,334.66
  4. Step 4: Simplify right side
    382,403.38x = 110,999,817,574.55
  5. Step 5: Solve for x
    x = 110,999,817,574.55/382,403.38
  6. Step 6: Final answer
    x = 290,268.92

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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.