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Finding the Fourth Proportional to 369,559.14, 509,991.66 and 199,793.22

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Solution

The fourth proportional to 369,559.14, 509,991.66 and 199,793.22 is: 275,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,559.14 : 509,991.66 = 199,793.22 : x
  2. Step 2: Convert to fraction form
    369,559.14/509,991.66 = 199,793.22/x
  3. Step 3: Cross multiply
    369,559.14x = 509,991.66 × 199,793.22
  4. Step 4: Simplify right side
    369,559.14x = 101,892,875,924.55
  5. Step 5: Solve for x
    x = 101,892,875,924.55/369,559.14
  6. Step 6: Final answer
    x = 275,714.67

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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.