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Finding the Fourth Proportional to 415,905.77, 573,949.98 and 224,919.11

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Solution

The fourth proportional to 415,905.77, 573,949.98 and 224,919.11 is: 310,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,905.77 : 573,949.98 = 224,919.11 : x
  2. Step 2: Convert to fraction form
    415,905.77/573,949.98 = 224,919.11/x
  3. Step 3: Cross multiply
    415,905.77x = 573,949.98 × 224,919.11
  4. Step 4: Simplify right side
    415,905.77x = 129,092,315,816.37
  5. Step 5: Solve for x
    x = 129,092,315,816.37/415,905.77
  6. Step 6: Final answer
    x = 310,388.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.