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Finding the Fourth Proportional to 322,334.74, 482,837.63 and 188,810.18

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Solution

The fourth proportional to 322,334.74, 482,837.63 and 188,810.18 is: 282,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,334.74 : 482,837.63 = 188,810.18 : x
  2. Step 2: Convert to fraction form
    322,334.74/482,837.63 = 188,810.18/x
  3. Step 3: Cross multiply
    322,334.74x = 482,837.63 × 188,810.18
  4. Step 4: Simplify right side
    322,334.74x = 91,164,658,887.02
  5. Step 5: Solve for x
    x = 91,164,658,887.02/322,334.74
  6. Step 6: Final answer
    x = 282,826.05

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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.