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Finding the Fourth Proportional to 686,095.05, 961,932.75 and 686,095.05

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Solution

The fourth proportional to 686,095.05, 961,932.75 and 686,095.05 is: 961,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,095.05 : 961,932.75 = 686,095.05 : x
  2. Step 2: Convert to fraction form
    686,095.05/961,932.75 = 686,095.05/x
  3. Step 3: Cross multiply
    686,095.05x = 961,932.75 × 686,095.05
  4. Step 4: Simplify right side
    686,095.05x = 659,977,298,207.89
  5. Step 5: Solve for x
    x = 659,977,298,207.89/686,095.05
  6. Step 6: Final answer
    x = 961,932.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.