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Finding the Fourth Proportional to 465,376.32, 698,297.76 and 184,973.76

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Solution

The fourth proportional to 465,376.32, 698,297.76 and 184,973.76 is: 277,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,376.32 : 698,297.76 = 184,973.76 : x
  2. Step 2: Convert to fraction form
    465,376.32/698,297.76 = 184,973.76/x
  3. Step 3: Cross multiply
    465,376.32x = 698,297.76 × 184,973.76
  4. Step 4: Simplify right side
    465,376.32x = 129,166,762,266.78
  5. Step 5: Solve for x
    x = 129,166,762,266.78/465,376.32
  6. Step 6: Final answer
    x = 277,553.36

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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.