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Finding the Fourth Proportional to 802,774.70, 1,204,162.14 and 241,809.20

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Solution

The fourth proportional to 802,774.70, 1,204,162.14 and 241,809.20 is: 362,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,774.70 : 1,204,162.14 = 241,809.20 : x
  2. Step 2: Convert to fraction form
    802,774.70/1,204,162.14 = 241,809.20/x
  3. Step 3: Cross multiply
    802,774.70x = 1,204,162.14 × 241,809.20
  4. Step 4: Simplify right side
    802,774.70x = 291,177,477,722.88
  5. Step 5: Solve for x
    x = 291,177,477,722.88/802,774.70
  6. Step 6: Final answer
    x = 362,713.82

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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.