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Finding the Fourth Proportional to 304,715.36, 457,367.88 and 147,054.80

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Solution

The fourth proportional to 304,715.36, 457,367.88 and 147,054.80 is: 220,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,715.36 : 457,367.88 = 147,054.80 : x
  2. Step 2: Convert to fraction form
    304,715.36/457,367.88 = 147,054.80/x
  3. Step 3: Cross multiply
    304,715.36x = 457,367.88 × 147,054.80
  4. Step 4: Simplify right side
    304,715.36x = 67,258,142,119.82
  5. Step 5: Solve for x
    x = 67,258,142,119.82/304,715.36
  6. Step 6: Final answer
    x = 220,724.49

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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.