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Finding the Fourth Proportional to 304,192.72, 419,788.74 and 168,219.64

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Solution

The fourth proportional to 304,192.72, 419,788.74 and 168,219.64 is: 232,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,192.72 : 419,788.74 = 168,219.64 : x
  2. Step 2: Convert to fraction form
    304,192.72/419,788.74 = 168,219.64/x
  3. Step 3: Cross multiply
    304,192.72x = 419,788.74 × 168,219.64
  4. Step 4: Simplify right side
    304,192.72x = 70,616,710,718.85
  5. Step 5: Solve for x
    x = 70,616,710,718.85/304,192.72
  6. Step 6: Final answer
    x = 232,144.64

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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.