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Finding the Fourth Proportional to 316,477.95, 474,388.86 and 197,876.94

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Solution

The fourth proportional to 316,477.95, 474,388.86 and 197,876.94 is: 296,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,477.95 : 474,388.86 = 197,876.94 : x
  2. Step 2: Convert to fraction form
    316,477.95/474,388.86 = 197,876.94/x
  3. Step 3: Cross multiply
    316,477.95x = 474,388.86 × 197,876.94
  4. Step 4: Simplify right side
    316,477.95x = 93,870,614,949.97
  5. Step 5: Solve for x
    x = 93,870,614,949.97/316,477.95
  6. Step 6: Final answer
    x = 296,610.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.