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Finding the Fourth Proportional to 304,846.40, 457,269.60 and 302,772.80

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Solution

The fourth proportional to 304,846.40, 457,269.60 and 302,772.80 is: 454,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,846.40 : 457,269.60 = 302,772.80 : x
  2. Step 2: Convert to fraction form
    304,846.40/457,269.60 = 302,772.80/x
  3. Step 3: Cross multiply
    304,846.40x = 457,269.60 × 302,772.80
  4. Step 4: Simplify right side
    304,846.40x = 138,448,797,146.88
  5. Step 5: Solve for x
    x = 138,448,797,146.88/304,846.40
  6. Step 6: Final answer
    x = 454,159.20

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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.