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Finding the Fourth Proportional to 468,642.94, 702,997.22 and 188,160.19

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Solution

The fourth proportional to 468,642.94, 702,997.22 and 188,160.19 is: 282,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,642.94 : 702,997.22 = 188,160.19 : x
  2. Step 2: Convert to fraction form
    468,642.94/702,997.22 = 188,160.19/x
  3. Step 3: Cross multiply
    468,642.94x = 702,997.22 × 188,160.19
  4. Step 4: Simplify right side
    468,642.94x = 132,276,089,197.58
  5. Step 5: Solve for x
    x = 132,276,089,197.58/468,642.94
  6. Step 6: Final answer
    x = 282,253.46

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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.