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Finding the Fourth Proportional to 377,706.84, 521,324.10 and 216,558.96

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Solution

The fourth proportional to 377,706.84, 521,324.10 and 216,558.96 is: 298,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,706.84 : 521,324.10 = 216,558.96 : x
  2. Step 2: Convert to fraction form
    377,706.84/521,324.10 = 216,558.96/x
  3. Step 3: Cross multiply
    377,706.84x = 521,324.10 × 216,558.96
  4. Step 4: Simplify right side
    377,706.84x = 112,897,404,918.94
  5. Step 5: Solve for x
    x = 112,897,404,918.94/377,706.84
  6. Step 6: Final answer
    x = 298,902.20

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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.