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Finding the Fourth Proportional to 466,477.99, 643,938.25 and 313,604.84

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Solution

The fourth proportional to 466,477.99, 643,938.25 and 313,604.84 is: 432,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,477.99 : 643,938.25 = 313,604.84 : x
  2. Step 2: Convert to fraction form
    466,477.99/643,938.25 = 313,604.84/x
  3. Step 3: Cross multiply
    466,477.99x = 643,938.25 × 313,604.84
  4. Step 4: Simplify right side
    466,477.99x = 201,942,151,902.95
  5. Step 5: Solve for x
    x = 201,942,151,902.95/466,477.99
  6. Step 6: Final answer
    x = 432,908.21

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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.