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Finding the Fourth Proportional to 564,600.40, 846,256.38 and 227,425.30

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Solution

The fourth proportional to 564,600.40, 846,256.38 and 227,425.30 is: 340,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,600.40 : 846,256.38 = 227,425.30 : x
  2. Step 2: Convert to fraction form
    564,600.40/846,256.38 = 227,425.30/x
  3. Step 3: Cross multiply
    564,600.40x = 846,256.38 × 227,425.30
  4. Step 4: Simplify right side
    564,600.40x = 192,460,111,098.41
  5. Step 5: Solve for x
    x = 192,460,111,098.41/564,600.40
  6. Step 6: Final answer
    x = 340,878.45

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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.