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Finding the Fourth Proportional to 304,069.80, 456,104.70 and 146,605.80

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Solution

The fourth proportional to 304,069.80, 456,104.70 and 146,605.80 is: 219,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,069.80 : 456,104.70 = 146,605.80 : x
  2. Step 2: Convert to fraction form
    304,069.80/456,104.70 = 146,605.80/x
  3. Step 3: Cross multiply
    304,069.80x = 456,104.70 × 146,605.80
  4. Step 4: Simplify right side
    304,069.80x = 66,867,594,427.26
  5. Step 5: Solve for x
    x = 66,867,594,427.26/304,069.80
  6. Step 6: Final answer
    x = 219,908.70

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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.