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Finding the Fourth Proportional to 539,814, 809,168.04 and 224,454

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Solution

The fourth proportional to 539,814, 809,168.04 and 224,454 is: 336,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,814 : 809,168.04 = 224,454 : x
  2. Step 2: Convert to fraction form
    539,814/809,168.04 = 224,454/x
  3. Step 3: Cross multiply
    539,814x = 809,168.04 × 224,454
  4. Step 4: Simplify right side
    539,814x = 181,621,003,250.16
  5. Step 5: Solve for x
    x = 181,621,003,250.16/539,814
  6. Step 6: Final answer
    x = 336,451.08

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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.