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Finding the Fourth Proportional to 374,711.80, 517,114.66 and 204,945.92

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Solution

The fourth proportional to 374,711.80, 517,114.66 and 204,945.92 is: 282,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,711.80 : 517,114.66 = 204,945.92 : x
  2. Step 2: Convert to fraction form
    374,711.80/517,114.66 = 204,945.92/x
  3. Step 3: Cross multiply
    374,711.80x = 517,114.66 × 204,945.92
  4. Step 4: Simplify right side
    374,711.80x = 105,980,539,739.19
  5. Step 5: Solve for x
    x = 105,980,539,739.19/374,711.80
  6. Step 6: Final answer
    x = 282,832.14

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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.