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Finding the Fourth Proportional to 462,950.72, 694,076.64 and 163,300.16

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Solution

The fourth proportional to 462,950.72, 694,076.64 and 163,300.16 is: 244,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,950.72 : 694,076.64 = 163,300.16 : x
  2. Step 2: Convert to fraction form
    462,950.72/694,076.64 = 163,300.16/x
  3. Step 3: Cross multiply
    462,950.72x = 694,076.64 × 163,300.16
  4. Step 4: Simplify right side
    462,950.72x = 113,342,826,364.26
  5. Step 5: Solve for x
    x = 113,342,826,364.26/462,950.72
  6. Step 6: Final answer
    x = 244,826.98

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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.