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Finding the Fourth Proportional to 289,772.76, 399,886.14 and 162,448.38

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Solution

The fourth proportional to 289,772.76, 399,886.14 and 162,448.38 is: 224,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,772.76 : 399,886.14 = 162,448.38 : x
  2. Step 2: Convert to fraction form
    289,772.76/399,886.14 = 162,448.38/x
  3. Step 3: Cross multiply
    289,772.76x = 399,886.14 × 162,448.38
  4. Step 4: Simplify right side
    289,772.76x = 64,960,855,627.45
  5. Step 5: Solve for x
    x = 64,960,855,627.45/289,772.76
  6. Step 6: Final answer
    x = 224,178.61

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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.