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Finding the Fourth Proportional to 416,213.40, 624,320.10 and 290,242.20

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Solution

The fourth proportional to 416,213.40, 624,320.10 and 290,242.20 is: 435,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.40 : 624,320.10 = 290,242.20 : x
  2. Step 2: Convert to fraction form
    416,213.40/624,320.10 = 290,242.20/x
  3. Step 3: Cross multiply
    416,213.40x = 624,320.10 × 290,242.20
  4. Step 4: Simplify right side
    416,213.40x = 181,204,039,328.22
  5. Step 5: Solve for x
    x = 181,204,039,328.22/416,213.40
  6. Step 6: Final answer
    x = 435,363.30

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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.