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Finding the Fourth Proportional to 1,046,709.30, 1,566,175.95 and 766,773.30

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Solution

The fourth proportional to 1,046,709.30, 1,566,175.95 and 766,773.30 is: 1,147,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,709.30 : 1,566,175.95 = 766,773.30 : x
  2. Step 2: Convert to fraction form
    1,046,709.30/1,566,175.95 = 766,773.30/x
  3. Step 3: Cross multiply
    1,046,709.30x = 1,566,175.95 × 766,773.30
  4. Step 4: Simplify right side
    1,046,709.30x = 1,200,901,901,562.14
  5. Step 5: Solve for x
    x = 1,200,901,901,562.14/1,046,709.30
  6. Step 6: Final answer
    x = 1,147,311.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.