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Finding the Fourth Proportional to 510,069.48, 703,884.51 and 295,205.24

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Solution

The fourth proportional to 510,069.48, 703,884.51 and 295,205.24 is: 407,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,069.48 : 703,884.51 = 295,205.24 : x
  2. Step 2: Convert to fraction form
    510,069.48/703,884.51 = 295,205.24/x
  3. Step 3: Cross multiply
    510,069.48x = 703,884.51 × 295,205.24
  4. Step 4: Simplify right side
    510,069.48x = 207,790,392,187.41
  5. Step 5: Solve for x
    x = 207,790,392,187.41/510,069.48
  6. Step 6: Final answer
    x = 407,376.64

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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.