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Finding the Fourth Proportional to 533,106.32, 799,264.44 and 322,694.48

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Solution

The fourth proportional to 533,106.32, 799,264.44 and 322,694.48 is: 483,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,106.32 : 799,264.44 = 322,694.48 : x
  2. Step 2: Convert to fraction form
    533,106.32/799,264.44 = 322,694.48/x
  3. Step 3: Cross multiply
    533,106.32x = 799,264.44 × 322,694.48
  4. Step 4: Simplify right side
    533,106.32x = 257,918,222,848.29
  5. Step 5: Solve for x
    x = 257,918,222,848.29/533,106.32
  6. Step 6: Final answer
    x = 483,802.60

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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.