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Finding the Fourth Proportional to 284,801.68, 427,267.38 and 151,611.76

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Solution

The fourth proportional to 284,801.68, 427,267.38 and 151,611.76 is: 227,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,801.68 : 427,267.38 = 151,611.76 : x
  2. Step 2: Convert to fraction form
    284,801.68/427,267.38 = 151,611.76/x
  3. Step 3: Cross multiply
    284,801.68x = 427,267.38 × 151,611.76
  4. Step 4: Simplify right side
    284,801.68x = 64,778,759,472.39
  5. Step 5: Solve for x
    x = 64,778,759,472.39/284,801.68
  6. Step 6: Final answer
    x = 227,452.17

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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.