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Finding the Fourth Proportional to 416,423.42, 574,664.28 and 232,662.03

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Solution

The fourth proportional to 416,423.42, 574,664.28 and 232,662.03 is: 321,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,423.42 : 574,664.28 = 232,662.03 : x
  2. Step 2: Convert to fraction form
    416,423.42/574,664.28 = 232,662.03/x
  3. Step 3: Cross multiply
    416,423.42x = 574,664.28 × 232,662.03
  4. Step 4: Simplify right side
    416,423.42x = 133,702,557,953.29
  5. Step 5: Solve for x
    x = 133,702,557,953.29/416,423.42
  6. Step 6: Final answer
    x = 321,073.58

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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.