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Finding the Fourth Proportional to 511,424.45, 705,594.38 and 330,258.84

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Solution

The fourth proportional to 511,424.45, 705,594.38 and 330,258.84 is: 455,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,424.45 : 705,594.38 = 330,258.84 : x
  2. Step 2: Convert to fraction form
    511,424.45/705,594.38 = 330,258.84/x
  3. Step 3: Cross multiply
    511,424.45x = 705,594.38 × 330,258.84
  4. Step 4: Simplify right side
    511,424.45x = 233,028,777,152.05
  5. Step 5: Solve for x
    x = 233,028,777,152.05/511,424.45
  6. Step 6: Final answer
    x = 455,646.53

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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.