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Finding the Fourth Proportional to 510,575.40, 765,863.10 and 342,613.80

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Solution

The fourth proportional to 510,575.40, 765,863.10 and 342,613.80 is: 513,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,575.40 : 765,863.10 = 342,613.80 : x
  2. Step 2: Convert to fraction form
    510,575.40/765,863.10 = 342,613.80/x
  3. Step 3: Cross multiply
    510,575.40x = 765,863.10 × 342,613.80
  4. Step 4: Simplify right side
    510,575.40x = 262,395,266,970.78
  5. Step 5: Solve for x
    x = 262,395,266,970.78/510,575.40
  6. Step 6: Final answer
    x = 513,920.70

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1.5x scale

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.