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Finding the Fourth Proportional to 302,415.16, 417,261.72 and 254,200.36

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Solution

The fourth proportional to 302,415.16, 417,261.72 and 254,200.36 is: 350,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,415.16 : 417,261.72 = 254,200.36 : x
  2. Step 2: Convert to fraction form
    302,415.16/417,261.72 = 254,200.36/x
  3. Step 3: Cross multiply
    302,415.16x = 417,261.72 × 254,200.36
  4. Step 4: Simplify right side
    302,415.16x = 106,068,079,438.22
  5. Step 5: Solve for x
    x = 106,068,079,438.22/302,415.16
  6. Step 6: Final answer
    x = 350,736.65

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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.