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Finding the Fourth Proportional to 665,114.40, 997,819.02 and 191,762.82

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Solution

The fourth proportional to 665,114.40, 997,819.02 and 191,762.82 is: 287,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,114.40 : 997,819.02 = 191,762.82 : x
  2. Step 2: Convert to fraction form
    665,114.40/997,819.02 = 191,762.82/x
  3. Step 3: Cross multiply
    665,114.40x = 997,819.02 × 191,762.82
  4. Step 4: Simplify right side
    665,114.40x = 191,344,589,124.84
  5. Step 5: Solve for x
    x = 191,344,589,124.84/665,114.40
  6. Step 6: Final answer
    x = 287,686.73

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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.