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Finding the Fourth Proportional to 706,648.84, 975,086.84 and 477,704.26

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Solution

The fourth proportional to 706,648.84, 975,086.84 and 477,704.26 is: 659,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,648.84 : 975,086.84 = 477,704.26 : x
  2. Step 2: Convert to fraction form
    706,648.84/975,086.84 = 477,704.26/x
  3. Step 3: Cross multiply
    706,648.84x = 975,086.84 × 477,704.26
  4. Step 4: Simplify right side
    706,648.84x = 465,803,137,337.94
  5. Step 5: Solve for x
    x = 465,803,137,337.94/706,648.84
  6. Step 6: Final answer
    x = 659,172.01

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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.