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Finding the Fourth Proportional to 294,894.66, 442,256.40 and 114,940

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Solution

The fourth proportional to 294,894.66, 442,256.40 and 114,940 is: 172,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,894.66 : 442,256.40 = 114,940 : x
  2. Step 2: Convert to fraction form
    294,894.66/442,256.40 = 114,940/x
  3. Step 3: Cross multiply
    294,894.66x = 442,256.40 × 114,940
  4. Step 4: Simplify right side
    294,894.66x = 50,832,950,616
  5. Step 5: Solve for x
    x = 50,832,950,616/294,894.66
  6. Step 6: Final answer
    x = 172,376.64

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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.