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Finding the Fourth Proportional to 477,184.92, 658,527.80 and 259,408.25

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Solution

The fourth proportional to 477,184.92, 658,527.80 and 259,408.25 is: 357,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,184.92 : 658,527.80 = 259,408.25 : x
  2. Step 2: Convert to fraction form
    477,184.92/658,527.80 = 259,408.25/x
  3. Step 3: Cross multiply
    477,184.92x = 658,527.80 × 259,408.25
  4. Step 4: Simplify right side
    477,184.92x = 170,827,539,584.67
  5. Step 5: Solve for x
    x = 170,827,539,584.67/477,184.92
  6. Step 6: Final answer
    x = 357,990.23

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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.