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Finding the Fourth Proportional to 334,533.70, 461,663.37 and 189,339.47

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Solution

The fourth proportional to 334,533.70, 461,663.37 and 189,339.47 is: 261,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,533.70 : 461,663.37 = 189,339.47 : x
  2. Step 2: Convert to fraction form
    334,533.70/461,663.37 = 189,339.47/x
  3. Step 3: Cross multiply
    334,533.70x = 461,663.37 × 189,339.47
  4. Step 4: Simplify right side
    334,533.70x = 87,411,100,346.51
  5. Step 5: Solve for x
    x = 87,411,100,346.51/334,533.70
  6. Step 6: Final answer
    x = 261,292.36

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