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Finding the Fourth Proportional to 284,532.58, 426,844.95 and 87,494.50

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Solution

The fourth proportional to 284,532.58, 426,844.95 and 87,494.50 is: 131,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,532.58 : 426,844.95 = 87,494.50 : x
  2. Step 2: Convert to fraction form
    284,532.58/426,844.95 = 87,494.50/x
  3. Step 3: Cross multiply
    284,532.58x = 426,844.95 × 87,494.50
  4. Step 4: Simplify right side
    284,532.58x = 37,346,585,477.78
  5. Step 5: Solve for x
    x = 37,346,585,477.78/284,532.58
  6. Step 6: Final answer
    x = 131,255.92

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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.