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Finding the Fourth Proportional to 473,005.04, 708,891.48 and 192,194

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Solution

The fourth proportional to 473,005.04, 708,891.48 and 192,194 is: 288,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,005.04 : 708,891.48 = 192,194 : x
  2. Step 2: Convert to fraction form
    473,005.04/708,891.48 = 192,194/x
  3. Step 3: Cross multiply
    473,005.04x = 708,891.48 × 192,194
  4. Step 4: Simplify right side
    473,005.04x = 136,244,689,107.12
  5. Step 5: Solve for x
    x = 136,244,689,107.12/473,005.04
  6. Step 6: Final answer
    x = 288,040.67

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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.