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Finding the Fourth Proportional to 505,212.40, 757,818.60 and 224,729.65

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Solution

The fourth proportional to 505,212.40, 757,818.60 and 224,729.65 is: 337,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,212.40 : 757,818.60 = 224,729.65 : x
  2. Step 2: Convert to fraction form
    505,212.40/757,818.60 = 224,729.65/x
  3. Step 3: Cross multiply
    505,212.40x = 757,818.60 × 224,729.65
  4. Step 4: Simplify right side
    505,212.40x = 170,304,308,741.49
  5. Step 5: Solve for x
    x = 170,304,308,741.49/505,212.40
  6. Step 6: Final answer
    x = 337,094.48

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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.