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Finding the Fourth Proportional to 351,705.60, 527,785.20 and 194,047.20

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Solution

The fourth proportional to 351,705.60, 527,785.20 and 194,047.20 is: 291,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,705.60 : 527,785.20 = 194,047.20 : x
  2. Step 2: Convert to fraction form
    351,705.60/527,785.20 = 194,047.20/x
  3. Step 3: Cross multiply
    351,705.60x = 527,785.20 × 194,047.20
  4. Step 4: Simplify right side
    351,705.60x = 102,415,240,261.44
  5. Step 5: Solve for x
    x = 102,415,240,261.44/351,705.60
  6. Step 6: Final answer
    x = 291,195.93

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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.