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Finding the Fourth Proportional to 645,882.30, 968,434.65 and 330,954.30

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Solution

The fourth proportional to 645,882.30, 968,434.65 and 330,954.30 is: 496,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,882.30 : 968,434.65 = 330,954.30 : x
  2. Step 2: Convert to fraction form
    645,882.30/968,434.65 = 330,954.30/x
  3. Step 3: Cross multiply
    645,882.30x = 968,434.65 × 330,954.30
  4. Step 4: Simplify right side
    645,882.30x = 320,507,611,686.50
  5. Step 5: Solve for x
    x = 320,507,611,686.50/645,882.30
  6. Step 6: Final answer
    x = 496,232.23

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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.