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Finding the Fourth Proportional to 298,733.64, 412,064.03 and 177,784.64

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Solution

The fourth proportional to 298,733.64, 412,064.03 and 177,784.64 is: 245,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,733.64 : 412,064.03 = 177,784.64 : x
  2. Step 2: Convert to fraction form
    298,733.64/412,064.03 = 177,784.64/x
  3. Step 3: Cross multiply
    298,733.64x = 412,064.03 × 177,784.64
  4. Step 4: Simplify right side
    298,733.64x = 73,258,652,281.26
  5. Step 5: Solve for x
    x = 73,258,652,281.26/298,733.64
  6. Step 6: Final answer
    x = 245,230.68

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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.