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Finding the Fourth Proportional to 294,178.51, 441,211.33 and 114,263.74

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Solution

The fourth proportional to 294,178.51, 441,211.33 and 114,263.74 is: 171,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,178.51 : 441,211.33 = 114,263.74 : x
  2. Step 2: Convert to fraction form
    294,178.51/441,211.33 = 114,263.74/x
  3. Step 3: Cross multiply
    294,178.51x = 441,211.33 × 114,263.74
  4. Step 4: Simplify right side
    294,178.51x = 50,414,456,696.17
  5. Step 5: Solve for x
    x = 50,414,456,696.17/294,178.51
  6. Step 6: Final answer
    x = 171,373.69

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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.