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Finding the Fourth Proportional to 460,466.64, 689,424.48 and 235,342.35

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Solution

The fourth proportional to 460,466.64, 689,424.48 and 235,342.35 is: 352,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,466.64 : 689,424.48 = 235,342.35 : x
  2. Step 2: Convert to fraction form
    460,466.64/689,424.48 = 235,342.35/x
  3. Step 3: Cross multiply
    460,466.64x = 689,424.48 × 235,342.35
  4. Step 4: Simplify right side
    460,466.64x = 162,250,777,270.73
  5. Step 5: Solve for x
    x = 162,250,777,270.73/460,466.64
  6. Step 6: Final answer
    x = 352,361.63

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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.