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Finding the Fourth Proportional to 294,922, 442,384.62 and 73,306

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Solution

The fourth proportional to 294,922, 442,384.62 and 73,306 is: 109,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,922 : 442,384.62 = 73,306 : x
  2. Step 2: Convert to fraction form
    294,922/442,384.62 = 73,306/x
  3. Step 3: Cross multiply
    294,922x = 442,384.62 × 73,306
  4. Step 4: Simplify right side
    294,922x = 32,429,446,953.72
  5. Step 5: Solve for x
    x = 32,429,446,953.72/294,922
  6. Step 6: Final answer
    x = 109,959.40

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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.