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Finding the Fourth Proportional to 510,525.34, 765,840.39 and 195,247.42

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Solution

The fourth proportional to 510,525.34, 765,840.39 and 195,247.42 is: 292,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,525.34 : 765,840.39 = 195,247.42 : x
  2. Step 2: Convert to fraction form
    510,525.34/765,840.39 = 195,247.42/x
  3. Step 3: Cross multiply
    510,525.34x = 765,840.39 × 195,247.42
  4. Step 4: Simplify right side
    510,525.34x = 149,528,360,279.29
  5. Step 5: Solve for x
    x = 149,528,360,279.29/510,525.34
  6. Step 6: Final answer
    x = 292,891.16

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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.