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Finding the Fourth Proportional to 706,909, 975,526.86 and 420,422.80

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Solution

The fourth proportional to 706,909, 975,526.86 and 420,422.80 is: 580,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,909 : 975,526.86 = 420,422.80 : x
  2. Step 2: Convert to fraction form
    706,909/975,526.86 = 420,422.80/x
  3. Step 3: Cross multiply
    706,909x = 975,526.86 × 420,422.80
  4. Step 4: Simplify right side
    706,909x = 410,133,733,956.41
  5. Step 5: Solve for x
    x = 410,133,733,956.41/706,909
  6. Step 6: Final answer
    x = 580,178.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.