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Finding the Fourth Proportional to 466,477.74, 643,937.90 and 313,604.59

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Solution

The fourth proportional to 466,477.74, 643,937.90 and 313,604.59 is: 432,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,477.74 : 643,937.90 = 313,604.59 : x
  2. Step 2: Convert to fraction form
    466,477.74/643,937.90 = 313,604.59/x
  3. Step 3: Cross multiply
    466,477.74x = 643,937.90 × 313,604.59
  4. Step 4: Simplify right side
    466,477.74x = 201,941,882,115.89
  5. Step 5: Solve for x
    x = 201,941,882,115.89/466,477.74
  6. Step 6: Final answer
    x = 432,907.87

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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.