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Finding the Fourth Proportional to 284,641.53, 427,032.38 and 200,565.90

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Solution

The fourth proportional to 284,641.53, 427,032.38 and 200,565.90 is: 300,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,641.53 : 427,032.38 = 200,565.90 : x
  2. Step 2: Convert to fraction form
    284,641.53/427,032.38 = 200,565.90/x
  3. Step 3: Cross multiply
    284,641.53x = 427,032.38 × 200,565.90
  4. Step 4: Simplify right side
    284,641.53x = 85,648,133,623.84
  5. Step 5: Solve for x
    x = 85,648,133,623.84/284,641.53
  6. Step 6: Final answer
    x = 300,898.23

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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.