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Finding the Fourth Proportional to 510,103.40, 765,242.24 and 210,420.15

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Solution

The fourth proportional to 510,103.40, 765,242.24 and 210,420.15 is: 315,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,103.40 : 765,242.24 = 210,420.15 : x
  2. Step 2: Convert to fraction form
    510,103.40/765,242.24 = 210,420.15/x
  3. Step 3: Cross multiply
    510,103.40x = 765,242.24 × 210,420.15
  4. Step 4: Simplify right side
    510,103.40x = 161,022,389,462.11
  5. Step 5: Solve for x
    x = 161,022,389,462.11/510,103.40
  6. Step 6: Final answer
    x = 315,666.18

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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.