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Finding the Fourth Proportional to 316,443.84, 474,775.10 and 197,974.05

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Solution

The fourth proportional to 316,443.84, 474,775.10 and 197,974.05 is: 297,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,443.84 : 474,775.10 = 197,974.05 : x
  2. Step 2: Convert to fraction form
    316,443.84/474,775.10 = 197,974.05/x
  3. Step 3: Cross multiply
    316,443.84x = 474,775.10 × 197,974.05
  4. Step 4: Simplify right side
    316,443.84x = 93,993,149,386.16
  5. Step 5: Solve for x
    x = 93,993,149,386.16/316,443.84
  6. Step 6: Final answer
    x = 297,029.48

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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.