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Finding the Fourth Proportional to 600,512.84, 828,346.74 and 396,565.64

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Solution

The fourth proportional to 600,512.84, 828,346.74 and 396,565.64 is: 547,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,512.84 : 828,346.74 = 396,565.64 : x
  2. Step 2: Convert to fraction form
    600,512.84/828,346.74 = 396,565.64/x
  3. Step 3: Cross multiply
    600,512.84x = 828,346.74 × 396,565.64
  4. Step 4: Simplify right side
    600,512.84x = 328,493,855,090.01
  5. Step 5: Solve for x
    x = 328,493,855,090.01/600,512.84
  6. Step 6: Final answer
    x = 547,022.20

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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.