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Finding the Fourth Proportional to 665,107.90, 997,809.27 and 191,756.32

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Solution

The fourth proportional to 665,107.90, 997,809.27 and 191,756.32 is: 287,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,107.90 : 997,809.27 = 191,756.32 : x
  2. Step 2: Convert to fraction form
    665,107.90/997,809.27 = 191,756.32/x
  3. Step 3: Cross multiply
    665,107.90x = 997,809.27 × 191,756.32
  4. Step 4: Simplify right side
    665,107.90x = 191,336,233,677.09
  5. Step 5: Solve for x
    x = 191,336,233,677.09/665,107.90
  6. Step 6: Final answer
    x = 287,676.98

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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.