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Finding the Fourth Proportional to 332,862.40, 498,953.40 and 164,123.20

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Solution

The fourth proportional to 332,862.40, 498,953.40 and 164,123.20 is: 246,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,862.40 : 498,953.40 = 164,123.20 : x
  2. Step 2: Convert to fraction form
    332,862.40/498,953.40 = 164,123.20/x
  3. Step 3: Cross multiply
    332,862.40x = 498,953.40 × 164,123.20
  4. Step 4: Simplify right side
    332,862.40x = 81,889,828,658.88
  5. Step 5: Solve for x
    x = 81,889,828,658.88/332,862.40
  6. Step 6: Final answer
    x = 246,017.06

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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.