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Finding the Fourth Proportional to 360,582.70, 497,544.66 and 199,406.26

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Solution

The fourth proportional to 360,582.70, 497,544.66 and 199,406.26 is: 275,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,582.70 : 497,544.66 = 199,406.26 : x
  2. Step 2: Convert to fraction form
    360,582.70/497,544.66 = 199,406.26/x
  3. Step 3: Cross multiply
    360,582.70x = 497,544.66 × 199,406.26
  4. Step 4: Simplify right side
    360,582.70x = 99,213,519,833.57
  5. Step 5: Solve for x
    x = 99,213,519,833.57/360,582.70
  6. Step 6: Final answer
    x = 275,147.75

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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.