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Finding the Fourth Proportional to 699,071, 1,046,350.90 and 361,646.96

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Solution

The fourth proportional to 699,071, 1,046,350.90 and 361,646.96 is: 541,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,071 : 1,046,350.90 = 361,646.96 : x
  2. Step 2: Convert to fraction form
    699,071/1,046,350.90 = 361,646.96/x
  3. Step 3: Cross multiply
    699,071x = 1,046,350.90 × 361,646.96
  4. Step 4: Simplify right side
    699,071x = 378,409,622,078.26
  5. Step 5: Solve for x
    x = 378,409,622,078.26/699,071
  6. Step 6: Final answer
    x = 541,303.56

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Why These Related Problems?

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