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Finding the Fourth Proportional to 304,561.32, 456,840.54 and 203,145

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Solution

The fourth proportional to 304,561.32, 456,840.54 and 203,145 is: 304,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,561.32 : 456,840.54 = 203,145 : x
  2. Step 2: Convert to fraction form
    304,561.32/456,840.54 = 203,145/x
  3. Step 3: Cross multiply
    304,561.32x = 456,840.54 × 203,145
  4. Step 4: Simplify right side
    304,561.32x = 92,804,871,498.30
  5. Step 5: Solve for x
    x = 92,804,871,498.30/304,561.32
  6. Step 6: Final answer
    x = 304,716.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.