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Finding the Fourth Proportional to 477,737.51, 659,257.96 and 259,947.08

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Solution

The fourth proportional to 477,737.51, 659,257.96 and 259,947.08 is: 358,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,737.51 : 659,257.96 = 259,947.08 : x
  2. Step 2: Convert to fraction form
    477,737.51/659,257.96 = 259,947.08/x
  3. Step 3: Cross multiply
    477,737.51x = 659,257.96 × 259,947.08
  4. Step 4: Simplify right side
    477,737.51x = 171,372,180,020.61
  5. Step 5: Solve for x
    x = 171,372,180,020.61/477,737.51
  6. Step 6: Final answer
    x = 358,716.20

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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.