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Finding the Fourth Proportional to 416,454.40, 624,317.10 and 282,901.60

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Solution

The fourth proportional to 416,454.40, 624,317.10 and 282,901.60 is: 424,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,454.40 : 624,317.10 = 282,901.60 : x
  2. Step 2: Convert to fraction form
    416,454.40/624,317.10 = 282,901.60/x
  3. Step 3: Cross multiply
    416,454.40x = 624,317.10 × 282,901.60
  4. Step 4: Simplify right side
    416,454.40x = 176,620,306,497.36
  5. Step 5: Solve for x
    x = 176,620,306,497.36/416,454.40
  6. Step 6: Final answer
    x = 424,104.79

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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.