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Finding the Fourth Proportional to 369,074.84, 509,323.28 and 199,308.96

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Solution

The fourth proportional to 369,074.84, 509,323.28 and 199,308.96 is: 275,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,074.84 : 509,323.28 = 199,308.96 : x
  2. Step 2: Convert to fraction form
    369,074.84/509,323.28 = 199,308.96/x
  3. Step 3: Cross multiply
    369,074.84x = 509,323.28 × 199,308.96
  4. Step 4: Simplify right side
    369,074.84x = 101,512,692,244.04
  5. Step 5: Solve for x
    x = 101,512,692,244.04/369,074.84
  6. Step 6: Final answer
    x = 275,046.37

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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.