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Finding the Fourth Proportional to 345,693.60, 518,977.80 and 185,896.80

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Solution

The fourth proportional to 345,693.60, 518,977.80 and 185,896.80 is: 279,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,693.60 : 518,977.80 = 185,896.80 : x
  2. Step 2: Convert to fraction form
    345,693.60/518,977.80 = 185,896.80/x
  3. Step 3: Cross multiply
    345,693.60x = 518,977.80 × 185,896.80
  4. Step 4: Simplify right side
    345,693.60x = 96,476,312,291.04
  5. Step 5: Solve for x
    x = 96,476,312,291.04/345,693.60
  6. Step 6: Final answer
    x = 279,080.41

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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.