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Finding the Fourth Proportional to 600,513.84, 828,348.12 and 396,566.64

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Solution

The fourth proportional to 600,513.84, 828,348.12 and 396,566.64 is: 547,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,513.84 : 828,348.12 = 396,566.64 : x
  2. Step 2: Convert to fraction form
    600,513.84/828,348.12 = 396,566.64/x
  3. Step 3: Cross multiply
    600,513.84x = 828,348.12 × 396,566.64
  4. Step 4: Simplify right side
    600,513.84x = 328,495,230,698.72
  5. Step 5: Solve for x
    x = 328,495,230,698.72/600,513.84
  6. Step 6: Final answer
    x = 547,023.58

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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.