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Finding the Fourth Proportional to 706,112.91, 974,439.27 and 383,823

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Solution

The fourth proportional to 706,112.91, 974,439.27 and 383,823 is: 529,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,112.91 : 974,439.27 = 383,823 : x
  2. Step 2: Convert to fraction form
    706,112.91/974,439.27 = 383,823/x
  3. Step 3: Cross multiply
    706,112.91x = 974,439.27 × 383,823
  4. Step 4: Simplify right side
    706,112.91x = 374,012,203,929.21
  5. Step 5: Solve for x
    x = 374,012,203,929.21/706,112.91
  6. Step 6: Final answer
    x = 529,677.62

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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.