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Finding the Fourth Proportional to 320,077.77, 480,219.21 and 224,114.94

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Solution

The fourth proportional to 320,077.77, 480,219.21 and 224,114.94 is: 336,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,077.77 : 480,219.21 = 224,114.94 : x
  2. Step 2: Convert to fraction form
    320,077.77/480,219.21 = 224,114.94/x
  3. Step 3: Cross multiply
    320,077.77x = 480,219.21 × 224,114.94
  4. Step 4: Simplify right side
    320,077.77x = 107,624,299,436.00
  5. Step 5: Solve for x
    x = 107,624,299,436.00/320,077.77
  6. Step 6: Final answer
    x = 336,244.22

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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.