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Finding the Fourth Proportional to 416,284.44, 624,675.76 and 179,627.12

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Solution

The fourth proportional to 416,284.44, 624,675.76 and 179,627.12 is: 269,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,284.44 : 624,675.76 = 179,627.12 : x
  2. Step 2: Convert to fraction form
    416,284.44/624,675.76 = 179,627.12/x
  3. Step 3: Cross multiply
    416,284.44x = 624,675.76 × 179,627.12
  4. Step 4: Simplify right side
    416,284.44x = 112,208,707,702.61
  5. Step 5: Solve for x
    x = 112,208,707,702.61/416,284.44
  6. Step 6: Final answer
    x = 269,548.17

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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.