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Finding the Fourth Proportional to 289,926.95, 400,097.98 and 162,602.54

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Solution

The fourth proportional to 289,926.95, 400,097.98 and 162,602.54 is: 224,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,926.95 : 400,097.98 = 162,602.54 : x
  2. Step 2: Convert to fraction form
    289,926.95/400,097.98 = 162,602.54/x
  3. Step 3: Cross multiply
    289,926.95x = 400,097.98 × 162,602.54
  4. Step 4: Simplify right side
    289,926.95x = 65,056,947,500.00
  5. Step 5: Solve for x
    x = 65,056,947,500.00/289,926.95
  6. Step 6: Final answer
    x = 224,390.83

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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.