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Finding the Fourth Proportional to 492,302.80, 738,454.20 and 416,195.20

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Solution

The fourth proportional to 492,302.80, 738,454.20 and 416,195.20 is: 624,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,302.80 : 738,454.20 = 416,195.20 : x
  2. Step 2: Convert to fraction form
    492,302.80/738,454.20 = 416,195.20/x
  3. Step 3: Cross multiply
    492,302.80x = 738,454.20 × 416,195.20
  4. Step 4: Simplify right side
    492,302.80x = 307,341,093,459.84
  5. Step 5: Solve for x
    x = 307,341,093,459.84/492,302.80
  6. Step 6: Final answer
    x = 624,292.80

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Similar ratio
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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.