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Finding the Fourth Proportional to 706,672.80, 975,119.76 and 477,728.10

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Solution

The fourth proportional to 706,672.80, 975,119.76 and 477,728.10 is: 659,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,672.80 : 975,119.76 = 477,728.10 : x
  2. Step 2: Convert to fraction form
    706,672.80/975,119.76 = 477,728.10/x
  3. Step 3: Cross multiply
    706,672.80x = 975,119.76 × 477,728.10
  4. Step 4: Simplify right side
    706,672.80x = 465,842,110,217.26
  5. Step 5: Solve for x
    x = 465,842,110,217.26/706,672.80
  6. Step 6: Final answer
    x = 659,204.81

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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.