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Finding the Fourth Proportional to 564,290.87, 846,258.49 and 185,123.25

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Solution

The fourth proportional to 564,290.87, 846,258.49 and 185,123.25 is: 277,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,290.87 : 846,258.49 = 185,123.25 : x
  2. Step 2: Convert to fraction form
    564,290.87/846,258.49 = 185,123.25/x
  3. Step 3: Cross multiply
    564,290.87x = 846,258.49 × 185,123.25
  4. Step 4: Simplify right side
    564,290.87x = 156,662,117,777.60
  5. Step 5: Solve for x
    x = 156,662,117,777.60/564,290.87
  6. Step 6: Final answer
    x = 277,626.54

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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.