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Finding the Fourth Proportional to 539,822, 809,180.04 and 224,462

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Solution

The fourth proportional to 539,822, 809,180.04 and 224,462 is: 336,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,822 : 809,180.04 = 224,462 : x
  2. Step 2: Convert to fraction form
    539,822/809,180.04 = 224,462/x
  3. Step 3: Cross multiply
    539,822x = 809,180.04 × 224,462
  4. Step 4: Simplify right side
    539,822x = 181,630,170,138.48
  5. Step 5: Solve for x
    x = 181,630,170,138.48/539,822
  6. Step 6: Final answer
    x = 336,463.08

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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.