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Finding the Fourth Proportional to 600,258.94, 828,380.34 and 342,176.54

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Solution

The fourth proportional to 600,258.94, 828,380.34 and 342,176.54 is: 472,216.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,258.94 : 828,380.34 = 342,176.54 : x
  2. Step 2: Convert to fraction form
    600,258.94/828,380.34 = 342,176.54/x
  3. Step 3: Cross multiply
    600,258.94x = 828,380.34 × 342,176.54
  4. Step 4: Simplify right side
    600,258.94x = 283,452,314,403.32
  5. Step 5: Solve for x
    x = 283,452,314,403.32/600,258.94
  6. Step 6: Final answer
    x = 472,216.73

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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.