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Finding the Fourth Proportional to 374,133.87, 516,285.50 and 204,335.19

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Solution

The fourth proportional to 374,133.87, 516,285.50 and 204,335.19 is: 281,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,133.87 : 516,285.50 = 204,335.19 : x
  2. Step 2: Convert to fraction form
    374,133.87/516,285.50 = 204,335.19/x
  3. Step 3: Cross multiply
    374,133.87x = 516,285.50 × 204,335.19
  4. Step 4: Simplify right side
    374,133.87x = 105,495,294,715.07
  5. Step 5: Solve for x
    x = 105,495,294,715.07/374,133.87
  6. Step 6: Final answer
    x = 281,972.05

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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.