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Finding the Fourth Proportional to 706,025.12, 974,321.16 and 383,735.96

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Solution

The fourth proportional to 706,025.12, 974,321.16 and 383,735.96 is: 529,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,025.12 : 974,321.16 = 383,735.96 : x
  2. Step 2: Convert to fraction form
    706,025.12/974,321.16 = 383,735.96/x
  3. Step 3: Cross multiply
    706,025.12x = 974,321.16 × 383,735.96
  4. Step 4: Simplify right side
    706,025.12x = 373,882,065,680.91
  5. Step 5: Solve for x
    x = 373,882,065,680.91/706,025.12
  6. Step 6: Final answer
    x = 529,559.15

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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.