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Finding the Fourth Proportional to 416,074.98, 624,130.27 and 163,410.24

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Solution

The fourth proportional to 416,074.98, 624,130.27 and 163,410.24 is: 245,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,074.98 : 624,130.27 = 163,410.24 : x
  2. Step 2: Convert to fraction form
    416,074.98/624,130.27 = 163,410.24/x
  3. Step 3: Cross multiply
    416,074.98x = 624,130.27 × 163,410.24
  4. Step 4: Simplify right side
    416,074.98x = 101,989,277,211.97
  5. Step 5: Solve for x
    x = 101,989,277,211.97/416,074.98
  6. Step 6: Final answer
    x = 245,122.35

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1.5x scale

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.