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Finding the Fourth Proportional to 278,399.98, 384,191.97 and 151,075.58

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Solution

The fourth proportional to 278,399.98, 384,191.97 and 151,075.58 is: 208,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,399.98 : 384,191.97 = 151,075.58 : x
  2. Step 2: Convert to fraction form
    278,399.98/384,191.97 = 151,075.58/x
  3. Step 3: Cross multiply
    278,399.98x = 384,191.97 × 151,075.58
  4. Step 4: Simplify right side
    278,399.98x = 58,042,022,778.13
  5. Step 5: Solve for x
    x = 58,042,022,778.13/278,399.98
  6. Step 6: Final answer
    x = 208,484.29

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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.