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Finding the Fourth Proportional to 650,247.13, 975,650.94 and 271,242.50

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Solution

The fourth proportional to 650,247.13, 975,650.94 and 271,242.50 is: 406,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,247.13 : 975,650.94 = 271,242.50 : x
  2. Step 2: Convert to fraction form
    650,247.13/975,650.94 = 271,242.50/x
  3. Step 3: Cross multiply
    650,247.13x = 975,650.94 × 271,242.50
  4. Step 4: Simplify right side
    650,247.13x = 264,638,004,704.91
  5. Step 5: Solve for x
    x = 264,638,004,704.91/650,247.13
  6. Step 6: Final answer
    x = 406,980.66

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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.