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Finding the Fourth Proportional to 564,288.56, 846,255.02 and 185,120.93

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Solution

The fourth proportional to 564,288.56, 846,255.02 and 185,120.93 is: 277,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,288.56 : 846,255.02 = 185,120.93 : x
  2. Step 2: Convert to fraction form
    564,288.56/846,255.02 = 185,120.93/x
  3. Step 3: Cross multiply
    564,288.56x = 846,255.02 × 185,120.93
  4. Step 4: Simplify right side
    564,288.56x = 156,659,518,898.01
  5. Step 5: Solve for x
    x = 156,659,518,898.01/564,288.56
  6. Step 6: Final answer
    x = 277,623.07

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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.