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Finding the Fourth Proportional to 369,091.49, 509,346.24 and 199,325.60

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Solution

The fourth proportional to 369,091.49, 509,346.24 and 199,325.60 is: 275,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,091.49 : 509,346.24 = 199,325.60 : x
  2. Step 2: Convert to fraction form
    369,091.49/509,346.24 = 199,325.60/x
  3. Step 3: Cross multiply
    369,091.49x = 509,346.24 × 199,325.60
  4. Step 4: Simplify right side
    369,091.49x = 101,525,744,895.74
  5. Step 5: Solve for x
    x = 101,525,744,895.74/369,091.49
  6. Step 6: Final answer
    x = 275,069.32

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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.