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Finding the Fourth Proportional to 433,957.72, 650,477.30 and 197,466.48

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Solution

The fourth proportional to 433,957.72, 650,477.30 and 197,466.48 is: 295,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,957.72 : 650,477.30 = 197,466.48 : x
  2. Step 2: Convert to fraction form
    433,957.72/650,477.30 = 197,466.48/x
  3. Step 3: Cross multiply
    433,957.72x = 650,477.30 × 197,466.48
  4. Step 4: Simplify right side
    433,957.72x = 128,447,462,750.90
  5. Step 5: Solve for x
    x = 128,447,462,750.90/433,957.72
  6. Step 6: Final answer
    x = 295,990.73

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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.