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Finding the Fourth Proportional to 413,708.80, 620,870.40 and 164,569.60

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Solution

The fourth proportional to 413,708.80, 620,870.40 and 164,569.60 is: 246,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,708.80 : 620,870.40 = 164,569.60 : x
  2. Step 2: Convert to fraction form
    413,708.80/620,870.40 = 164,569.60/x
  3. Step 3: Cross multiply
    413,708.80x = 620,870.40 × 164,569.60
  4. Step 4: Simplify right side
    413,708.80x = 102,176,393,379.84
  5. Step 5: Solve for x
    x = 102,176,393,379.84/413,708.80
  6. Step 6: Final answer
    x = 246,976.60

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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.