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Finding the Fourth Proportional to 347,761.40, 521,642.10 and 205,460.60

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Solution

The fourth proportional to 347,761.40, 521,642.10 and 205,460.60 is: 308,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,761.40 : 521,642.10 = 205,460.60 : x
  2. Step 2: Convert to fraction form
    347,761.40/521,642.10 = 205,460.60/x
  3. Step 3: Cross multiply
    347,761.40x = 521,642.10 × 205,460.60
  4. Step 4: Simplify right side
    347,761.40x = 107,176,898,851.26
  5. Step 5: Solve for x
    x = 107,176,898,851.26/347,761.40
  6. Step 6: Final answer
    x = 308,190.90

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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.