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Finding the Fourth Proportional to 706,807.46, 975,305.40 and 477,863.12

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Solution

The fourth proportional to 706,807.46, 975,305.40 and 477,863.12 is: 659,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,807.46 : 975,305.40 = 477,863.12 : x
  2. Step 2: Convert to fraction form
    706,807.46/975,305.40 = 477,863.12/x
  3. Step 3: Cross multiply
    706,807.46x = 975,305.40 × 477,863.12
  4. Step 4: Simplify right side
    706,807.46x = 466,062,481,396.85
  5. Step 5: Solve for x
    x = 466,062,481,396.85/706,807.46
  6. Step 6: Final answer
    x = 659,391.01

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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.