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Finding the Fourth Proportional to 270,497.80, 405,746.70 and 195,848.20

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Solution

The fourth proportional to 270,497.80, 405,746.70 and 195,848.20 is: 293,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,497.80 : 405,746.70 = 195,848.20 : x
  2. Step 2: Convert to fraction form
    270,497.80/405,746.70 = 195,848.20/x
  3. Step 3: Cross multiply
    270,497.80x = 405,746.70 × 195,848.20
  4. Step 4: Simplify right side
    270,497.80x = 79,464,760,850.94
  5. Step 5: Solve for x
    x = 79,464,760,850.94/270,497.80
  6. Step 6: Final answer
    x = 293,772.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.