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Finding the Fourth Proportional to 284,877.38, 393,114.80 and 155,790.20

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Solution

The fourth proportional to 284,877.38, 393,114.80 and 155,790.20 is: 214,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,877.38 : 393,114.80 = 155,790.20 : x
  2. Step 2: Convert to fraction form
    284,877.38/393,114.80 = 155,790.20/x
  3. Step 3: Cross multiply
    284,877.38x = 393,114.80 × 155,790.20
  4. Step 4: Simplify right side
    284,877.38x = 61,243,433,314.96
  5. Step 5: Solve for x
    x = 61,243,433,314.96/284,877.38
  6. Step 6: Final answer
    x = 214,981.73

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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.