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Finding the Fourth Proportional to 284,885,542.80, 427,328,314.20 and 238,969,040.40

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Solution

The fourth proportional to 284,885,542.80, 427,328,314.20 and 238,969,040.40 is: 358,453,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,885,542.80 : 427,328,314.20 = 238,969,040.40 : x
  2. Step 2: Convert to fraction form
    284,885,542.80/427,328,314.20 = 238,969,040.40/x
  3. Step 3: Cross multiply
    284,885,542.80x = 427,328,314.20 × 238,969,040.40
  4. Step 4: Simplify right side
    284,885,542.80x = 102,118,237,180,123,696
  5. Step 5: Solve for x
    x = 102,118,237,180,123,696/284,885,542.80
  6. Step 6: Final answer
    x = 358,453,560.60

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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.