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Finding the Fourth Proportional to 611,749.20, 917,186.40 and 274,513.80

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Solution

The fourth proportional to 611,749.20, 917,186.40 and 274,513.80 is: 411,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,749.20 : 917,186.40 = 274,513.80 : x
  2. Step 2: Convert to fraction form
    611,749.20/917,186.40 = 274,513.80/x
  3. Step 3: Cross multiply
    611,749.20x = 917,186.40 × 274,513.80
  4. Step 4: Simplify right side
    611,749.20x = 251,780,323,972.32
  5. Step 5: Solve for x
    x = 251,780,323,972.32/611,749.20
  6. Step 6: Final answer
    x = 411,574.42

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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.