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Finding the Fourth Proportional to 284,777.84, 427,167.17 and 116,298.17

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Solution

The fourth proportional to 284,777.84, 427,167.17 and 116,298.17 is: 174,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,777.84 : 427,167.17 = 116,298.17 : x
  2. Step 2: Convert to fraction form
    284,777.84/427,167.17 = 116,298.17/x
  3. Step 3: Cross multiply
    284,777.84x = 427,167.17 × 116,298.17
  4. Step 4: Simplify right side
    284,777.84x = 49,678,757,437.75
  5. Step 5: Solve for x
    x = 49,678,757,437.75/284,777.84
  6. Step 6: Final answer
    x = 174,447.42

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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.