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Finding the Fourth Proportional to 284,274.14, 426,320.48 and 115,794.14

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Solution

The fourth proportional to 284,274.14, 426,320.48 and 115,794.14 is: 173,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,274.14 : 426,320.48 = 115,794.14 : x
  2. Step 2: Convert to fraction form
    284,274.14/426,320.48 = 115,794.14/x
  3. Step 3: Cross multiply
    284,274.14x = 426,320.48 × 115,794.14
  4. Step 4: Simplify right side
    284,274.14x = 49,365,413,345.99
  5. Step 5: Solve for x
    x = 49,365,413,345.99/284,274.14
  6. Step 6: Final answer
    x = 173,654.25

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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.