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Finding the Fourth Proportional to 304,653.93, 457,001.64 and 80,013.98

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Solution

The fourth proportional to 304,653.93, 457,001.64 and 80,013.98 is: 120,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,653.93 : 457,001.64 = 80,013.98 : x
  2. Step 2: Convert to fraction form
    304,653.93/457,001.64 = 80,013.98/x
  3. Step 3: Cross multiply
    304,653.93x = 457,001.64 × 80,013.98
  4. Step 4: Simplify right side
    304,653.93x = 36,566,517,797.92
  5. Step 5: Solve for x
    x = 36,566,517,797.92/304,653.93
  6. Step 6: Final answer
    x = 120,026.41

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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.