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Finding the Fourth Proportional to 294,311.10, 441,466.65 and 72,695.10

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Solution

The fourth proportional to 294,311.10, 441,466.65 and 72,695.10 is: 109,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,311.10 : 441,466.65 = 72,695.10 : x
  2. Step 2: Convert to fraction form
    294,311.10/441,466.65 = 72,695.10/x
  3. Step 3: Cross multiply
    294,311.10x = 441,466.65 × 72,695.10
  4. Step 4: Simplify right side
    294,311.10x = 32,092,462,268.42
  5. Step 5: Solve for x
    x = 32,092,462,268.42/294,311.10
  6. Step 6: Final answer
    x = 109,042.65

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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.