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Finding the Fourth Proportional to 284,924.10, 427,424.55 and 97,992.90

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Solution

The fourth proportional to 284,924.10, 427,424.55 and 97,992.90 is: 147,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,924.10 : 427,424.55 = 97,992.90 : x
  2. Step 2: Convert to fraction form
    284,924.10/427,424.55 = 97,992.90/x
  3. Step 3: Cross multiply
    284,924.10x = 427,424.55 × 97,992.90
  4. Step 4: Simplify right side
    284,924.10x = 41,884,571,185.70
  5. Step 5: Solve for x
    x = 41,884,571,185.70/284,924.10
  6. Step 6: Final answer
    x = 147,002.56

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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.