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Finding the Fourth Proportional to 298,848.64, 412,386.24 and 171,497.20

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Solution

The fourth proportional to 298,848.64, 412,386.24 and 171,497.20 is: 236,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,848.64 : 412,386.24 = 171,497.20 : x
  2. Step 2: Convert to fraction form
    298,848.64/412,386.24 = 171,497.20/x
  3. Step 3: Cross multiply
    298,848.64x = 412,386.24 × 171,497.20
  4. Step 4: Simplify right side
    298,848.64x = 70,723,085,478.53
  5. Step 5: Solve for x
    x = 70,723,085,478.53/298,848.64
  6. Step 6: Final answer
    x = 236,651.86

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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.