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Finding the Fourth Proportional to 294,923, 442,386.12 and 73,307

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Solution

The fourth proportional to 294,923, 442,386.12 and 73,307 is: 109,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,923 : 442,386.12 = 73,307 : x
  2. Step 2: Convert to fraction form
    294,923/442,386.12 = 73,307/x
  3. Step 3: Cross multiply
    294,923x = 442,386.12 × 73,307
  4. Step 4: Simplify right side
    294,923x = 32,429,999,298.84
  5. Step 5: Solve for x
    x = 32,429,999,298.84/294,923
  6. Step 6: Final answer
    x = 109,960.90

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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.