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Finding the Fourth Proportional to 416,069.81, 624,122.48 and 163,405.06

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Solution

The fourth proportional to 416,069.81, 624,122.48 and 163,405.06 is: 245,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,069.81 : 624,122.48 = 163,405.06 : x
  2. Step 2: Convert to fraction form
    416,069.81/624,122.48 = 163,405.06/x
  3. Step 3: Cross multiply
    416,069.81x = 624,122.48 × 163,405.06
  4. Step 4: Simplify right side
    416,069.81x = 101,984,767,354.11
  5. Step 5: Solve for x
    x = 101,984,767,354.11/416,069.81
  6. Step 6: Final answer
    x = 245,114.56

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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.