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Finding the Fourth Proportional to 369,287.94, 509,617.53 and 199,522.02

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Solution

The fourth proportional to 369,287.94, 509,617.53 and 199,522.02 is: 275,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,287.94 : 509,617.53 = 199,522.02 : x
  2. Step 2: Convert to fraction form
    369,287.94/509,617.53 = 199,522.02/x
  3. Step 3: Cross multiply
    369,287.94x = 509,617.53 × 199,522.02
  4. Step 4: Simplify right side
    369,287.94x = 101,679,919,013.01
  5. Step 5: Solve for x
    x = 101,679,919,013.01/369,287.94
  6. Step 6: Final answer
    x = 275,340.48

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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.