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Finding the Fourth Proportional to 294,514.30, 441,953.70 and 117,002.80

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Solution

The fourth proportional to 294,514.30, 441,953.70 and 117,002.80 is: 175,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,514.30 : 441,953.70 = 117,002.80 : x
  2. Step 2: Convert to fraction form
    294,514.30/441,953.70 = 117,002.80/x
  3. Step 3: Cross multiply
    294,514.30x = 441,953.70 × 117,002.80
  4. Step 4: Simplify right side
    294,514.30x = 51,709,820,370.36
  5. Step 5: Solve for x
    x = 51,709,820,370.36/294,514.30
  6. Step 6: Final answer
    x = 175,576.60

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