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Finding the Fourth Proportional to 294,264.88, 441,395.20 and 194,869.98

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Solution

The fourth proportional to 294,264.88, 441,395.20 and 194,869.98 is: 292,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,264.88 : 441,395.20 = 194,869.98 : x
  2. Step 2: Convert to fraction form
    294,264.88/441,395.20 = 194,869.98/x
  3. Step 3: Cross multiply
    294,264.88x = 441,395.20 × 194,869.98
  4. Step 4: Simplify right side
    294,264.88x = 86,014,673,796.10
  5. Step 5: Solve for x
    x = 86,014,673,796.10/294,264.88
  6. Step 6: Final answer
    x = 292,303.57

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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.