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Finding the Fourth Proportional to 294,146.01, 441,364.83 and 116,649.09

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Solution

The fourth proportional to 294,146.01, 441,364.83 and 116,649.09 is: 175,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,146.01 : 441,364.83 = 116,649.09 : x
  2. Step 2: Convert to fraction form
    294,146.01/441,364.83 = 116,649.09/x
  3. Step 3: Cross multiply
    294,146.01x = 441,364.83 × 116,649.09
  4. Step 4: Simplify right side
    294,146.01x = 51,484,805,777.50
  5. Step 5: Solve for x
    x = 51,484,805,777.50/294,146.01
  6. Step 6: Final answer
    x = 175,031.46

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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.