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Finding the Fourth Proportional to 374,147.32, 516,334.64 and 204,392.38

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Solution

The fourth proportional to 374,147.32, 516,334.64 and 204,392.38 is: 282,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,147.32 : 516,334.64 = 204,392.38 : x
  2. Step 2: Convert to fraction form
    374,147.32/516,334.64 = 204,392.38/x
  3. Step 3: Cross multiply
    374,147.32x = 516,334.64 × 204,392.38
  4. Step 4: Simplify right side
    374,147.32x = 105,534,865,946.04
  5. Step 5: Solve for x
    x = 105,534,865,946.04/374,147.32
  6. Step 6: Final answer
    x = 282,067.68

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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.