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Finding the Fourth Proportional to 284,203.29, 426,212.64 and 94,612.71

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Solution

The fourth proportional to 284,203.29, 426,212.64 and 94,612.71 is: 141,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,203.29 : 426,212.64 = 94,612.71 : x
  2. Step 2: Convert to fraction form
    284,203.29/426,212.64 = 94,612.71/x
  3. Step 3: Cross multiply
    284,203.29x = 426,212.64 × 94,612.71
  4. Step 4: Simplify right side
    284,203.29x = 40,325,132,906.65
  5. Step 5: Solve for x
    x = 40,325,132,906.65/284,203.29
  6. Step 6: Final answer
    x = 141,888.34

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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.