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Finding the Fourth Proportional to 665,973.86, 998,794.50 and 261,248.34

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Solution

The fourth proportional to 665,973.86, 998,794.50 and 261,248.34 is: 391,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,973.86 : 998,794.50 = 261,248.34 : x
  2. Step 2: Convert to fraction form
    665,973.86/998,794.50 = 261,248.34/x
  3. Step 3: Cross multiply
    665,973.86x = 998,794.50 × 261,248.34
  4. Step 4: Simplify right side
    665,973.86x = 260,933,405,126.13
  5. Step 5: Solve for x
    x = 260,933,405,126.13/665,973.86
  6. Step 6: Final answer
    x = 391,807.28

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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.