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Finding the Fourth Proportional to 508,367.84, 701,631.72 and 282,086.24

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Solution

The fourth proportional to 508,367.84, 701,631.72 and 282,086.24 is: 389,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,367.84 : 701,631.72 = 282,086.24 : x
  2. Step 2: Convert to fraction form
    508,367.84/701,631.72 = 282,086.24/x
  3. Step 3: Cross multiply
    508,367.84x = 701,631.72 × 282,086.24
  4. Step 4: Simplify right side
    508,367.84x = 197,920,653,759.53
  5. Step 5: Solve for x
    x = 197,920,653,759.53/508,367.84
  6. Step 6: Final answer
    x = 389,325.68

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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.