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Finding the Fourth Proportional to 706,677.80, 975,126.64 and 477,733.12

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Solution

The fourth proportional to 706,677.80, 975,126.64 and 477,733.12 is: 659,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,677.80 : 975,126.64 = 477,733.12 : x
  2. Step 2: Convert to fraction form
    706,677.80/975,126.64 = 477,733.12/x
  3. Step 3: Cross multiply
    706,677.80x = 975,126.64 × 477,733.12
  4. Step 4: Simplify right side
    706,677.80x = 465,850,292,122.32
  5. Step 5: Solve for x
    x = 465,850,292,122.32/706,677.80
  6. Step 6: Final answer
    x = 659,211.73

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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.