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Finding the Fourth Proportional to 405,698.41, 559,820.73 and 224,381.53

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Solution

The fourth proportional to 405,698.41, 559,820.73 and 224,381.53 is: 309,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,698.41 : 559,820.73 = 224,381.53 : x
  2. Step 2: Convert to fraction form
    405,698.41/559,820.73 = 224,381.53/x
  3. Step 3: Cross multiply
    405,698.41x = 559,820.73 × 224,381.53
  4. Step 4: Simplify right side
    405,698.41x = 125,613,431,923.12
  5. Step 5: Solve for x
    x = 125,613,431,923.12/405,698.41
  6. Step 6: Final answer
    x = 309,622.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.