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Finding the Fourth Proportional to 289,378.49, 399,345.11 and 160,319.71

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Solution

The fourth proportional to 289,378.49, 399,345.11 and 160,319.71 is: 221,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,378.49 : 399,345.11 = 160,319.71 : x
  2. Step 2: Convert to fraction form
    289,378.49/399,345.11 = 160,319.71/x
  3. Step 3: Cross multiply
    289,378.49x = 399,345.11 × 160,319.71
  4. Step 4: Simplify right side
    289,378.49x = 64,022,891,179.38
  5. Step 5: Solve for x
    x = 64,022,891,179.38/289,378.49
  6. Step 6: Final answer
    x = 221,242.74

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Why These Related Problems?

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