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Finding the Fourth Proportional to 706,046.27, 974,349.84 and 383,756.33

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Solution

The fourth proportional to 706,046.27, 974,349.84 and 383,756.33 is: 529,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,046.27 : 974,349.84 = 383,756.33 : x
  2. Step 2: Convert to fraction form
    706,046.27/974,349.84 = 383,756.33/x
  3. Step 3: Cross multiply
    706,046.27x = 974,349.84 × 383,756.33
  4. Step 4: Simplify right side
    706,046.27x = 373,912,918,734.49
  5. Step 5: Solve for x
    x = 373,912,918,734.49/706,046.27
  6. Step 6: Final answer
    x = 529,586.99

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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.