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Finding the Fourth Proportional to 416,420.62, 624,888 and 163,656.68

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Solution

The fourth proportional to 416,420.62, 624,888 and 163,656.68 is: 245,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,420.62 : 624,888 = 163,656.68 : x
  2. Step 2: Convert to fraction form
    416,420.62/624,888 = 163,656.68/x
  3. Step 3: Cross multiply
    416,420.62x = 624,888 × 163,656.68
  4. Step 4: Simplify right side
    416,420.62x = 102,267,092,327.40
  5. Step 5: Solve for x
    x = 102,267,092,327.40/416,420.62
  6. Step 6: Final answer
    x = 245,586.04

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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.