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Finding the Fourth Proportional to 706,499.28, 974,474.82 and 464,704.56

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Solution

The fourth proportional to 706,499.28, 974,474.82 and 464,704.56 is: 640,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,499.28 : 974,474.82 = 464,704.56 : x
  2. Step 2: Convert to fraction form
    706,499.28/974,474.82 = 464,704.56/x
  3. Step 3: Cross multiply
    706,499.28x = 974,474.82 × 464,704.56
  4. Step 4: Simplify right side
    706,499.28x = 452,842,892,459.18
  5. Step 5: Solve for x
    x = 452,842,892,459.18/706,499.28
  6. Step 6: Final answer
    x = 640,967.24

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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.