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Finding the Fourth Proportional to 302,014.16, 416,343.01 and 199,868.50

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Solution

The fourth proportional to 302,014.16, 416,343.01 and 199,868.50 is: 275,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,014.16 : 416,343.01 = 199,868.50 : x
  2. Step 2: Convert to fraction form
    302,014.16/416,343.01 = 199,868.50/x
  3. Step 3: Cross multiply
    302,014.16x = 416,343.01 × 199,868.50
  4. Step 4: Simplify right side
    302,014.16x = 83,213,853,435.37
  5. Step 5: Solve for x
    x = 83,213,853,435.37/302,014.16
  6. Step 6: Final answer
    x = 275,529.64

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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.