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Finding the Fourth Proportional to 477,729.42, 659,046.15 and 308,018.22

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Solution

The fourth proportional to 477,729.42, 659,046.15 and 308,018.22 is: 424,923.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,729.42 : 659,046.15 = 308,018.22 : x
  2. Step 2: Convert to fraction form
    477,729.42/659,046.15 = 308,018.22/x
  3. Step 3: Cross multiply
    477,729.42x = 659,046.15 × 308,018.22
  4. Step 4: Simplify right side
    477,729.42x = 202,998,222,020.85
  5. Step 5: Solve for x
    x = 202,998,222,020.85/477,729.42
  6. Step 6: Final answer
    x = 424,923.01

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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.