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Finding the Fourth Proportional to 510,333.34, 765,502.07 and 206,733.24

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Solution

The fourth proportional to 510,333.34, 765,502.07 and 206,733.24 is: 310,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,333.34 : 765,502.07 = 206,733.24 : x
  2. Step 2: Convert to fraction form
    510,333.34/765,502.07 = 206,733.24/x
  3. Step 3: Cross multiply
    510,333.34x = 765,502.07 × 206,733.24
  4. Step 4: Simplify right side
    510,333.34x = 158,254,723,157.81
  5. Step 5: Solve for x
    x = 158,254,723,157.81/510,333.34
  6. Step 6: Final answer
    x = 310,100.69

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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.