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Finding the Fourth Proportional to 512,968.97, 707,530.02 and 360,041.28

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Solution

The fourth proportional to 512,968.97, 707,530.02 and 360,041.28 is: 496,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,968.97 : 707,530.02 = 360,041.28 : x
  2. Step 2: Convert to fraction form
    512,968.97/707,530.02 = 360,041.28/x
  3. Step 3: Cross multiply
    512,968.97x = 707,530.02 × 360,041.28
  4. Step 4: Simplify right side
    512,968.97x = 254,740,014,039.23
  5. Step 5: Solve for x
    x = 254,740,014,039.23/512,968.97
  6. Step 6: Final answer
    x = 496,599.27

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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.