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Finding the Fourth Proportional to 539,730.90, 809,693.55 and 224,219.70

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Solution

The fourth proportional to 539,730.90, 809,693.55 and 224,219.70 is: 336,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,730.90 : 809,693.55 = 224,219.70 : x
  2. Step 2: Convert to fraction form
    539,730.90/809,693.55 = 224,219.70/x
  3. Step 3: Cross multiply
    539,730.90x = 809,693.55 × 224,219.70
  4. Step 4: Simplify right side
    539,730.90x = 181,549,244,872.94
  5. Step 5: Solve for x
    x = 181,549,244,872.94/539,730.90
  6. Step 6: Final answer
    x = 336,369.93

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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.