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Finding the Fourth Proportional to 510,022.47, 703,787.62 and 295,175.84

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Solution

The fourth proportional to 510,022.47, 703,787.62 and 295,175.84 is: 407,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,022.47 : 703,787.62 = 295,175.84 : x
  2. Step 2: Convert to fraction form
    510,022.47/703,787.62 = 295,175.84/x
  3. Step 3: Cross multiply
    510,022.47x = 703,787.62 × 295,175.84
  4. Step 4: Simplify right side
    510,022.47x = 207,741,100,439.22
  5. Step 5: Solve for x
    x = 207,741,100,439.22/510,022.47
  6. Step 6: Final answer
    x = 407,317.55

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1.5x scale

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.