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Finding the Fourth Proportional to 477,749.66, 659,274.61 and 259,959.18

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Solution

The fourth proportional to 477,749.66, 659,274.61 and 259,959.18 is: 358,732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,749.66 : 659,274.61 = 259,959.18 : x
  2. Step 2: Convert to fraction form
    477,749.66/659,274.61 = 259,959.18/x
  3. Step 3: Cross multiply
    477,749.66x = 659,274.61 × 259,959.18
  4. Step 4: Simplify right side
    477,749.66x = 171,384,487,010.42
  5. Step 5: Solve for x
    x = 171,384,487,010.42/477,749.66
  6. Step 6: Final answer
    x = 358,732.83

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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.