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Finding the Fourth Proportional to 323,820.10, 485,730.15 and 166,356.10

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Solution

The fourth proportional to 323,820.10, 485,730.15 and 166,356.10 is: 249,534.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,820.10 : 485,730.15 = 166,356.10 : x
  2. Step 2: Convert to fraction form
    323,820.10/485,730.15 = 166,356.10/x
  3. Step 3: Cross multiply
    323,820.10x = 485,730.15 × 166,356.10
  4. Step 4: Simplify right side
    323,820.10x = 80,804,173,406.42
  5. Step 5: Solve for x
    x = 80,804,173,406.42/323,820.10
  6. Step 6: Final answer
    x = 249,534.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.