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Finding the Fourth Proportional to 284,111.44, 392,063.50 and 156,784.30

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Solution

The fourth proportional to 284,111.44, 392,063.50 and 156,784.30 is: 216,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,111.44 : 392,063.50 = 156,784.30 : x
  2. Step 2: Convert to fraction form
    284,111.44/392,063.50 = 156,784.30/x
  3. Step 3: Cross multiply
    284,111.44x = 392,063.50 × 156,784.30
  4. Step 4: Simplify right side
    284,111.44x = 61,469,401,403.05
  5. Step 5: Solve for x
    x = 61,469,401,403.05/284,111.44
  6. Step 6: Final answer
    x = 216,356.66

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1.5x scale

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.