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Finding the Fourth Proportional to 294,154, 441,231.04 and 175,859.20

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Solution

The fourth proportional to 294,154, 441,231.04 and 175,859.20 is: 263,788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,154 : 441,231.04 = 175,859.20 : x
  2. Step 2: Convert to fraction form
    294,154/441,231.04 = 175,859.20/x
  3. Step 3: Cross multiply
    294,154x = 441,231.04 × 175,859.20
  4. Step 4: Simplify right side
    294,154x = 77,594,537,709.57
  5. Step 5: Solve for x
    x = 77,594,537,709.57/294,154
  6. Step 6: Final answer
    x = 263,788.82

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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.