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Finding the Fourth Proportional to 360,816.58, 497,914.62 and 199,678.42

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Solution

The fourth proportional to 360,816.58, 497,914.62 and 199,678.42 is: 275,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,816.58 : 497,914.62 = 199,678.42 : x
  2. Step 2: Convert to fraction form
    360,816.58/497,914.62 = 199,678.42/x
  3. Step 3: Cross multiply
    360,816.58x = 497,914.62 × 199,678.42
  4. Step 4: Simplify right side
    360,816.58x = 99,422,804,616.50
  5. Step 5: Solve for x
    x = 99,422,804,616.50/360,816.58
  6. Step 6: Final answer
    x = 275,549.43

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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.