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Finding the Fourth Proportional to 389,000.64, 537,000.24 and 227,833.44

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Solution

The fourth proportional to 389,000.64, 537,000.24 and 227,833.44 is: 314,515.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,000.64 : 537,000.24 = 227,833.44 : x
  2. Step 2: Convert to fraction form
    389,000.64/537,000.24 = 227,833.44/x
  3. Step 3: Cross multiply
    389,000.64x = 537,000.24 × 227,833.44
  4. Step 4: Simplify right side
    389,000.64x = 122,346,611,960.03
  5. Step 5: Solve for x
    x = 122,346,611,960.03/389,000.64
  6. Step 6: Final answer
    x = 314,515.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.