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Finding the Fourth Proportional to 510,401.11, 765,402.94 and 210,930.07

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Solution

The fourth proportional to 510,401.11, 765,402.94 and 210,930.07 is: 316,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,401.11 : 765,402.94 = 210,930.07 : x
  2. Step 2: Convert to fraction form
    510,401.11/765,402.94 = 210,930.07/x
  3. Step 3: Cross multiply
    510,401.11x = 765,402.94 × 210,930.07
  4. Step 4: Simplify right side
    510,401.11x = 161,446,495,712.41
  5. Step 5: Solve for x
    x = 161,446,495,712.41/510,401.11
  6. Step 6: Final answer
    x = 316,312.98

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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.