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Finding the Fourth Proportional to 294,752.46, 442,222.11 and 105,208.63

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Solution

The fourth proportional to 294,752.46, 442,222.11 and 105,208.63 is: 157,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,752.46 : 442,222.11 = 105,208.63 : x
  2. Step 2: Convert to fraction form
    294,752.46/442,222.11 = 105,208.63/x
  3. Step 3: Cross multiply
    294,752.46x = 442,222.11 × 105,208.63
  4. Step 4: Simplify right side
    294,752.46x = 46,525,583,730.75
  5. Step 5: Solve for x
    x = 46,525,583,730.75/294,752.46
  6. Step 6: Final answer
    x = 157,846.29

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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.