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Finding the Fourth Proportional to 407,600.21, 611,477.98 and 164,460.57

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Solution

The fourth proportional to 407,600.21, 611,477.98 and 164,460.57 is: 246,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,600.21 : 611,477.98 = 164,460.57 : x
  2. Step 2: Convert to fraction form
    407,600.21/611,477.98 = 164,460.57/x
  3. Step 3: Cross multiply
    407,600.21x = 611,477.98 × 164,460.57
  4. Step 4: Simplify right side
    407,600.21x = 100,564,016,310.95
  5. Step 5: Solve for x
    x = 100,564,016,310.95/407,600.21
  6. Step 6: Final answer
    x = 246,722.19

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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.