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Finding the Fourth Proportional to 294,323.04, 441,475.11 and 83,960.91

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Solution

The fourth proportional to 294,323.04, 441,475.11 and 83,960.91 is: 125,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,323.04 : 441,475.11 = 83,960.91 : x
  2. Step 2: Convert to fraction form
    294,323.04/441,475.11 = 83,960.91/x
  3. Step 3: Cross multiply
    294,323.04x = 441,475.11 × 83,960.91
  4. Step 4: Simplify right side
    294,323.04x = 37,066,651,977.95
  5. Step 5: Solve for x
    x = 37,066,651,977.95/294,323.04
  6. Step 6: Final answer
    x = 125,938.67

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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.