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Finding the Fourth Proportional to 284,524.42, 426,853.16 and 151,374.40

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Solution

The fourth proportional to 284,524.42, 426,853.16 and 151,374.40 is: 227,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,524.42 : 426,853.16 = 151,374.40 : x
  2. Step 2: Convert to fraction form
    284,524.42/426,853.16 = 151,374.40/x
  3. Step 3: Cross multiply
    284,524.42x = 426,853.16 × 151,374.40
  4. Step 4: Simplify right side
    284,524.42x = 64,614,640,983.10
  5. Step 5: Solve for x
    x = 64,614,640,983.10/284,524.42
  6. Step 6: Final answer
    x = 227,097.00

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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.