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Finding the Fourth Proportional to 417,115.20, 625,802.40 and 164,427.60

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Solution

The fourth proportional to 417,115.20, 625,802.40 and 164,427.60 is: 246,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,115.20 : 625,802.40 = 164,427.60 : x
  2. Step 2: Convert to fraction form
    417,115.20/625,802.40 = 164,427.60/x
  3. Step 3: Cross multiply
    417,115.20x = 625,802.40 × 164,427.60
  4. Step 4: Simplify right side
    417,115.20x = 102,899,186,706.24
  5. Step 5: Solve for x
    x = 102,899,186,706.24/417,115.20
  6. Step 6: Final answer
    x = 246,692.49

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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.