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Finding the Fourth Proportional to 294,662.76, 442,062.12 and 92,247.36

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Solution

The fourth proportional to 294,662.76, 442,062.12 and 92,247.36 is: 138,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,662.76 : 442,062.12 = 92,247.36 : x
  2. Step 2: Convert to fraction form
    294,662.76/442,062.12 = 92,247.36/x
  3. Step 3: Cross multiply
    294,662.76x = 442,062.12 × 92,247.36
  4. Step 4: Simplify right side
    294,662.76x = 40,779,063,526.00
  5. Step 5: Solve for x
    x = 40,779,063,526.00/294,662.76
  6. Step 6: Final answer
    x = 138,392.32

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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.