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Finding the Fourth Proportional to 564,375.14, 846,853.20 and 374,965.91

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Solution

The fourth proportional to 564,375.14, 846,853.20 and 374,965.91 is: 562,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,375.14 : 846,853.20 = 374,965.91 : x
  2. Step 2: Convert to fraction form
    564,375.14/846,853.20 = 374,965.91/x
  3. Step 3: Cross multiply
    564,375.14x = 846,853.20 × 374,965.91
  4. Step 4: Simplify right side
    564,375.14x = 317,541,076,540.15
  5. Step 5: Solve for x
    x = 317,541,076,540.15/564,375.14
  6. Step 6: Final answer
    x = 562,641.86

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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.