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Finding the Fourth Proportional to 332,053.23, 458,214.80 and 188,848.11

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Solution

The fourth proportional to 332,053.23, 458,214.80 and 188,848.11 is: 260,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,053.23 : 458,214.80 = 188,848.11 : x
  2. Step 2: Convert to fraction form
    332,053.23/458,214.80 = 188,848.11/x
  3. Step 3: Cross multiply
    332,053.23x = 458,214.80 × 188,848.11
  4. Step 4: Simplify right side
    332,053.23x = 86,532,998,009.79
  5. Step 5: Solve for x
    x = 86,532,998,009.79/332,053.23
  6. Step 6: Final answer
    x = 260,599.78

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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.