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Finding the Fourth Proportional to 284,402.63, 426,674.11 and 84,722.24

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Solution

The fourth proportional to 284,402.63, 426,674.11 and 84,722.24 is: 127,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,402.63 : 426,674.11 = 84,722.24 : x
  2. Step 2: Convert to fraction form
    284,402.63/426,674.11 = 84,722.24/x
  3. Step 3: Cross multiply
    284,402.63x = 426,674.11 × 84,722.24
  4. Step 4: Simplify right side
    284,402.63x = 36,148,783,792.22
  5. Step 5: Solve for x
    x = 36,148,783,792.22/284,402.63
  6. Step 6: Final answer
    x = 127,104.26

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1.5x scale

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.