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Finding the Fourth Proportional to 423,946.54, 585,039.56 and 232,955.82

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Solution

The fourth proportional to 423,946.54, 585,039.56 and 232,955.82 is: 321,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,946.54 : 585,039.56 = 232,955.82 : x
  2. Step 2: Convert to fraction form
    423,946.54/585,039.56 = 232,955.82/x
  3. Step 3: Cross multiply
    423,946.54x = 585,039.56 × 232,955.82
  4. Step 4: Simplify right side
    423,946.54x = 136,288,370,432.24
  5. Step 5: Solve for x
    x = 136,288,370,432.24/423,946.54
  6. Step 6: Final answer
    x = 321,475.37

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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.