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Finding the Fourth Proportional to 369,452.14, 509,844.03 and 199,685.74

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Solution

The fourth proportional to 369,452.14, 509,844.03 and 199,685.74 is: 275,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,452.14 : 509,844.03 = 199,685.74 : x
  2. Step 2: Convert to fraction form
    369,452.14/509,844.03 = 199,685.74/x
  3. Step 3: Cross multiply
    369,452.14x = 509,844.03 × 199,685.74
  4. Step 4: Simplify right side
    369,452.14x = 101,808,582,415.13
  5. Step 5: Solve for x
    x = 101,808,582,415.13/369,452.14
  6. Step 6: Final answer
    x = 275,566.36

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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.