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Finding the Fourth Proportional to 665,106.90, 997,807.77 and 191,755.32

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Solution

The fourth proportional to 665,106.90, 997,807.77 and 191,755.32 is: 287,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,106.90 : 997,807.77 = 191,755.32 : x
  2. Step 2: Convert to fraction form
    665,106.90/997,807.77 = 191,755.32/x
  3. Step 3: Cross multiply
    665,106.90x = 997,807.77 × 191,755.32
  4. Step 4: Simplify right side
    665,106.90x = 191,334,948,234.84
  5. Step 5: Solve for x
    x = 191,334,948,234.84/665,106.90
  6. Step 6: Final answer
    x = 287,675.48

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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.