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Finding the Fourth Proportional to 477,516.84, 716,477.82 and 224,791.80

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Solution

The fourth proportional to 477,516.84, 716,477.82 and 224,791.80 is: 337,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,516.84 : 716,477.82 = 224,791.80 : x
  2. Step 2: Convert to fraction form
    477,516.84/716,477.82 = 224,791.80/x
  3. Step 3: Cross multiply
    477,516.84x = 716,477.82 × 224,791.80
  4. Step 4: Simplify right side
    477,516.84x = 161,058,338,817.88
  5. Step 5: Solve for x
    x = 161,058,338,817.88/477,516.84
  6. Step 6: Final answer
    x = 337,283.06

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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.