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Finding the Fourth Proportional to 508,370.84, 701,635.86 and 282,089.24

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Solution

The fourth proportional to 508,370.84, 701,635.86 and 282,089.24 is: 389,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,370.84 : 701,635.86 = 282,089.24 : x
  2. Step 2: Convert to fraction form
    508,370.84/701,635.86 = 282,089.24/x
  3. Step 3: Cross multiply
    508,370.84x = 701,635.86 × 282,089.24
  4. Step 4: Simplify right side
    508,370.84x = 197,923,926,504.15
  5. Step 5: Solve for x
    x = 197,923,926,504.15/508,370.84
  6. Step 6: Final answer
    x = 389,329.82

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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.