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Finding the Fourth Proportional to 430,682.80, 594,336.32 and 239,696.16

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Solution

The fourth proportional to 430,682.80, 594,336.32 and 239,696.16 is: 330,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,682.80 : 594,336.32 = 239,696.16 : x
  2. Step 2: Convert to fraction form
    430,682.80/594,336.32 = 239,696.16/x
  3. Step 3: Cross multiply
    430,682.80x = 594,336.32 × 239,696.16
  4. Step 4: Simplify right side
    430,682.80x = 142,460,133,652.53
  5. Step 5: Solve for x
    x = 142,460,133,652.53/430,682.80
  6. Step 6: Final answer
    x = 330,777.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.