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Finding the Fourth Proportional to 600,038.82, 828,079.29 and 328,090.50

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Solution

The fourth proportional to 600,038.82, 828,079.29 and 328,090.50 is: 452,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,038.82 : 828,079.29 = 328,090.50 : x
  2. Step 2: Convert to fraction form
    600,038.82/828,079.29 = 328,090.50/x
  3. Step 3: Cross multiply
    600,038.82x = 828,079.29 × 328,090.50
  4. Step 4: Simplify right side
    600,038.82x = 271,684,948,295.75
  5. Step 5: Solve for x
    x = 271,684,948,295.75/600,038.82
  6. Step 6: Final answer
    x = 452,778.95

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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.