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Finding the Fourth Proportional to 332,271.80, 498,414.76 and 119,053.60

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Solution

The fourth proportional to 332,271.80, 498,414.76 and 119,053.60 is: 178,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,271.80 : 498,414.76 = 119,053.60 : x
  2. Step 2: Convert to fraction form
    332,271.80/498,414.76 = 119,053.60/x
  3. Step 3: Cross multiply
    332,271.80x = 498,414.76 × 119,053.60
  4. Step 4: Simplify right side
    332,271.80x = 59,338,071,471.14
  5. Step 5: Solve for x
    x = 59,338,071,471.14/332,271.80
  6. Step 6: Final answer
    x = 178,582.93

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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.