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Finding the Fourth Proportional to 706,257.36, 974,654.44 and 383,989.12

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Solution

The fourth proportional to 706,257.36, 974,654.44 and 383,989.12 is: 529,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,257.36 : 974,654.44 = 383,989.12 : x
  2. Step 2: Convert to fraction form
    706,257.36/974,654.44 = 383,989.12/x
  3. Step 3: Cross multiply
    706,257.36x = 974,654.44 × 383,989.12
  4. Step 4: Simplify right side
    706,257.36x = 374,256,700,719.69
  5. Step 5: Solve for x
    x = 374,256,700,719.69/706,257.36
  6. Step 6: Final answer
    x = 529,915.47

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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.