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Finding the Fourth Proportional to 304,739.36, 457,403.88 and 147,078.80

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Solution

The fourth proportional to 304,739.36, 457,403.88 and 147,078.80 is: 220,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,739.36 : 457,403.88 = 147,078.80 : x
  2. Step 2: Convert to fraction form
    304,739.36/457,403.88 = 147,078.80/x
  3. Step 3: Cross multiply
    304,739.36x = 457,403.88 × 147,078.80
  4. Step 4: Simplify right side
    304,739.36x = 67,274,413,785.74
  5. Step 5: Solve for x
    x = 67,274,413,785.74/304,739.36
  6. Step 6: Final answer
    x = 220,760.50

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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.