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Finding the Fourth Proportional to 416,549.40, 624,824.10 and 400,219.80

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Solution

The fourth proportional to 416,549.40, 624,824.10 and 400,219.80 is: 600,329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,549.40 : 624,824.10 = 400,219.80 : x
  2. Step 2: Convert to fraction form
    416,549.40/624,824.10 = 400,219.80/x
  3. Step 3: Cross multiply
    416,549.40x = 624,824.10 × 400,219.80
  4. Step 4: Simplify right side
    416,549.40x = 250,066,976,337.18
  5. Step 5: Solve for x
    x = 250,066,976,337.18/416,549.40
  6. Step 6: Final answer
    x = 600,329.70

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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.