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Finding the Fourth Proportional to 656,822.32, 906,414.30 and 355,016.32

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Solution

The fourth proportional to 656,822.32, 906,414.30 and 355,016.32 is: 489,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,822.32 : 906,414.30 = 355,016.32 : x
  2. Step 2: Convert to fraction form
    656,822.32/906,414.30 = 355,016.32/x
  3. Step 3: Cross multiply
    656,822.32x = 906,414.30 × 355,016.32
  4. Step 4: Simplify right side
    656,822.32x = 321,791,869,181.38
  5. Step 5: Solve for x
    x = 321,791,869,181.38/656,822.32
  6. Step 6: Final answer
    x = 489,922.25

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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.