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Finding the Fourth Proportional to 294,944, 442,417.68 and 73,328

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Solution

The fourth proportional to 294,944, 442,417.68 and 73,328 is: 109,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,944 : 442,417.68 = 73,328 : x
  2. Step 2: Convert to fraction form
    294,944/442,417.68 = 73,328/x
  3. Step 3: Cross multiply
    294,944x = 442,417.68 × 73,328
  4. Step 4: Simplify right side
    294,944x = 32,441,603,639.04
  5. Step 5: Solve for x
    x = 32,441,603,639.04/294,944
  6. Step 6: Final answer
    x = 109,992.42

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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.