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Finding the Fourth Proportional to 289,336.83, 399,288.01 and 160,277.28

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Solution

The fourth proportional to 289,336.83, 399,288.01 and 160,277.28 is: 221,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,336.83 : 399,288.01 = 160,277.28 : x
  2. Step 2: Convert to fraction form
    289,336.83/399,288.01 = 160,277.28/x
  3. Step 3: Cross multiply
    289,336.83x = 399,288.01 × 160,277.28
  4. Step 4: Simplify right side
    289,336.83x = 63,996,794,833.22
  5. Step 5: Solve for x
    x = 63,996,794,833.22/289,336.83
  6. Step 6: Final answer
    x = 221,184.41

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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.