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Finding the Fourth Proportional to 284,614.59, 426,921.84 and 116,214.22

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Solution

The fourth proportional to 284,614.59, 426,921.84 and 116,214.22 is: 174,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,614.59 : 426,921.84 = 116,214.22 : x
  2. Step 2: Convert to fraction form
    284,614.59/426,921.84 = 116,214.22/x
  3. Step 3: Cross multiply
    284,614.59x = 426,921.84 × 116,214.22
  4. Step 4: Simplify right side
    284,614.59x = 49,614,387,969.50
  5. Step 5: Solve for x
    x = 49,614,387,969.50/284,614.59
  6. Step 6: Final answer
    x = 174,321.31

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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.