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Finding the Fourth Proportional to 416,066.70, 624,100.05 and 206,114.70

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Solution

The fourth proportional to 416,066.70, 624,100.05 and 206,114.70 is: 309,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,066.70 : 624,100.05 = 206,114.70 : x
  2. Step 2: Convert to fraction form
    416,066.70/624,100.05 = 206,114.70/x
  3. Step 3: Cross multiply
    416,066.70x = 624,100.05 × 206,114.70
  4. Step 4: Simplify right side
    416,066.70x = 128,636,194,575.74
  5. Step 5: Solve for x
    x = 128,636,194,575.74/416,066.70
  6. Step 6: Final answer
    x = 309,172.05

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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.