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Finding the Fourth Proportional to 304,598.14, 456,891.08 and 104,914.10

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Solution

The fourth proportional to 304,598.14, 456,891.08 and 104,914.10 is: 157,369.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,598.14 : 456,891.08 = 104,914.10 : x
  2. Step 2: Convert to fraction form
    304,598.14/456,891.08 = 104,914.10/x
  3. Step 3: Cross multiply
    304,598.14x = 456,891.08 × 104,914.10
  4. Step 4: Simplify right side
    304,598.14x = 47,934,317,073.89
  5. Step 5: Solve for x
    x = 47,934,317,073.89/304,598.14
  6. Step 6: Final answer
    x = 157,369.04

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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.