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Finding the Fourth Proportional to 340,291.44, 469,594.20 and 189,385.20

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Solution

The fourth proportional to 340,291.44, 469,594.20 and 189,385.20 is: 261,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,291.44 : 469,594.20 = 189,385.20 : x
  2. Step 2: Convert to fraction form
    340,291.44/469,594.20 = 189,385.20/x
  3. Step 3: Cross multiply
    340,291.44x = 469,594.20 × 189,385.20
  4. Step 4: Simplify right side
    340,291.44x = 88,934,191,485.84
  5. Step 5: Solve for x
    x = 88,934,191,485.84/340,291.44
  6. Step 6: Final answer
    x = 261,347.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.