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Finding the Fourth Proportional to 706,647.84, 975,085.45 and 477,703.26

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Solution

The fourth proportional to 706,647.84, 975,085.45 and 477,703.26 is: 659,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,647.84 : 975,085.45 = 477,703.26 : x
  2. Step 2: Convert to fraction form
    706,647.84/975,085.45 = 477,703.26/x
  3. Step 3: Cross multiply
    706,647.84x = 975,085.45 × 477,703.26
  4. Step 4: Simplify right side
    706,647.84x = 465,801,498,243.57
  5. Step 5: Solve for x
    x = 465,801,498,243.57/706,647.84
  6. Step 6: Final answer
    x = 659,170.62

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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.