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Finding the Fourth Proportional to 477,937.89, 659,568.31 and 260,160.77

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Solution

The fourth proportional to 477,937.89, 659,568.31 and 260,160.77 is: 359,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,937.89 : 659,568.31 = 260,160.77 : x
  2. Step 2: Convert to fraction form
    477,937.89/659,568.31 = 260,160.77/x
  3. Step 3: Cross multiply
    477,937.89x = 659,568.31 × 260,160.77
  4. Step 4: Simplify right side
    477,937.89x = 171,593,797,597.14
  5. Step 5: Solve for x
    x = 171,593,797,597.14/477,937.89
  6. Step 6: Final answer
    x = 359,029.49

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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.