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Finding the Fourth Proportional to 304,090.74, 455,693.25 and 146,134.67

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Solution

The fourth proportional to 304,090.74, 455,693.25 and 146,134.67 is: 218,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,090.74 : 455,693.25 = 146,134.67 : x
  2. Step 2: Convert to fraction form
    304,090.74/455,693.25 = 146,134.67/x
  3. Step 3: Cross multiply
    304,090.74x = 455,693.25 × 146,134.67
  4. Step 4: Simplify right side
    304,090.74x = 66,592,582,709.98
  5. Step 5: Solve for x
    x = 66,592,582,709.98/304,090.74
  6. Step 6: Final answer
    x = 218,989.18

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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.