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Finding the Fourth Proportional to 706,658.80, 975,100.44 and 477,714.10

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Solution

The fourth proportional to 706,658.80, 975,100.44 and 477,714.10 is: 659,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,658.80 : 975,100.44 = 477,714.10 : x
  2. Step 2: Convert to fraction form
    706,658.80/975,100.44 = 477,714.10/x
  3. Step 3: Cross multiply
    706,658.80x = 975,100.44 × 477,714.10
  4. Step 4: Simplify right side
    706,658.80x = 465,819,229,104.20
  5. Step 5: Solve for x
    x = 465,819,229,104.20/706,658.80
  6. Step 6: Final answer
    x = 659,185.49

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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.