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Finding the Fourth Proportional to 484,516.41, 726,239.40 and 200,050.13

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Solution

The fourth proportional to 484,516.41, 726,239.40 and 200,050.13 is: 299,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,516.41 : 726,239.40 = 200,050.13 : x
  2. Step 2: Convert to fraction form
    484,516.41/726,239.40 = 200,050.13/x
  3. Step 3: Cross multiply
    484,516.41x = 726,239.40 × 200,050.13
  4. Step 4: Simplify right side
    484,516.41x = 145,284,286,381.12
  5. Step 5: Solve for x
    x = 145,284,286,381.12/484,516.41
  6. Step 6: Final answer
    x = 299,854.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.