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Finding the Fourth Proportional to 382,649.70, 573,974.55 and 214,688.10

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Solution

The fourth proportional to 382,649.70, 573,974.55 and 214,688.10 is: 322,032.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,649.70 : 573,974.55 = 214,688.10 : x
  2. Step 2: Convert to fraction form
    382,649.70/573,974.55 = 214,688.10/x
  3. Step 3: Cross multiply
    382,649.70x = 573,974.55 × 214,688.10
  4. Step 4: Simplify right side
    382,649.70x = 123,225,505,587.86
  5. Step 5: Solve for x
    x = 123,225,505,587.86/382,649.70
  6. Step 6: Final answer
    x = 322,032.15

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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.