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Finding the Fourth Proportional to 400,512.84, 600,976.35 and 176,030.88

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Solution

The fourth proportional to 400,512.84, 600,976.35 and 176,030.88 is: 264,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,512.84 : 600,976.35 = 176,030.88 : x
  2. Step 2: Convert to fraction form
    400,512.84/600,976.35 = 176,030.88/x
  3. Step 3: Cross multiply
    400,512.84x = 600,976.35 × 176,030.88
  4. Step 4: Simplify right side
    400,512.84x = 105,790,395,749.69
  5. Step 5: Solve for x
    x = 105,790,395,749.69/400,512.84
  6. Step 6: Final answer
    x = 264,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.