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Finding the Fourth Proportional to 304,544.48, 420,430.56 and 189,858.08

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Solution

The fourth proportional to 304,544.48, 420,430.56 and 189,858.08 is: 262,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,544.48 : 420,430.56 = 189,858.08 : x
  2. Step 2: Convert to fraction form
    304,544.48/420,430.56 = 189,858.08/x
  3. Step 3: Cross multiply
    304,544.48x = 420,430.56 × 189,858.08
  4. Step 4: Simplify right side
    304,544.48x = 79,822,138,894.92
  5. Step 5: Solve for x
    x = 79,822,138,894.92/304,544.48
  6. Step 6: Final answer
    x = 262,103.38

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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.