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Finding the Fourth Proportional to 706,044.24, 974,346.84 and 383,754.42

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Solution

The fourth proportional to 706,044.24, 974,346.84 and 383,754.42 is: 529,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,044.24 : 974,346.84 = 383,754.42 : x
  2. Step 2: Convert to fraction form
    706,044.24/974,346.84 = 383,754.42/x
  3. Step 3: Cross multiply
    706,044.24x = 974,346.84 × 383,754.42
  4. Step 4: Simplify right side
    706,044.24x = 373,909,906,463.03
  5. Step 5: Solve for x
    x = 373,909,906,463.03/706,044.24
  6. Step 6: Final answer
    x = 529,584.25

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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.