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Finding the Fourth Proportional to 371,491.38, 512,712.26 and 208,158.93

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Solution

The fourth proportional to 371,491.38, 512,712.26 and 208,158.93 is: 287,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,491.38 : 512,712.26 = 208,158.93 : x
  2. Step 2: Convert to fraction form
    371,491.38/512,712.26 = 208,158.93/x
  3. Step 3: Cross multiply
    371,491.38x = 512,712.26 × 208,158.93
  4. Step 4: Simplify right side
    371,491.38x = 106,725,634,398.69
  5. Step 5: Solve for x
    x = 106,725,634,398.69/371,491.38
  6. Step 6: Final answer
    x = 287,289.67

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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.