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Finding the Fourth Proportional to 304,213.01, 419,813.09 and 175,104.30

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Solution

The fourth proportional to 304,213.01, 419,813.09 and 175,104.30 is: 241,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,213.01 : 419,813.09 = 175,104.30 : x
  2. Step 2: Convert to fraction form
    304,213.01/419,813.09 = 175,104.30/x
  3. Step 3: Cross multiply
    304,213.01x = 419,813.09 × 175,104.30
  4. Step 4: Simplify right side
    304,213.01x = 73,511,076,379.77
  5. Step 5: Solve for x
    x = 73,511,076,379.77/304,213.01
  6. Step 6: Final answer
    x = 241,643.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.