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Finding the Fourth Proportional to 298,634.61, 412,088.40 and 177,805.29

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Solution

The fourth proportional to 298,634.61, 412,088.40 and 177,805.29 is: 245,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,634.61 : 412,088.40 = 177,805.29 : x
  2. Step 2: Convert to fraction form
    298,634.61/412,088.40 = 177,805.29/x
  3. Step 3: Cross multiply
    298,634.61x = 412,088.40 × 177,805.29
  4. Step 4: Simplify right side
    298,634.61x = 73,271,497,467.64
  5. Step 5: Solve for x
    x = 73,271,497,467.64/298,634.61
  6. Step 6: Final answer
    x = 245,355.01

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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.