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Finding the Fourth Proportional to 492,328.85, 738,572.09 and 208,022.16

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Solution

The fourth proportional to 492,328.85, 738,572.09 and 208,022.16 is: 312,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,328.85 : 738,572.09 = 208,022.16 : x
  2. Step 2: Convert to fraction form
    492,328.85/738,572.09 = 208,022.16/x
  3. Step 3: Cross multiply
    492,328.85x = 738,572.09 × 208,022.16
  4. Step 4: Simplify right side
    492,328.85x = 153,639,356,744.54
  5. Step 5: Solve for x
    x = 153,639,356,744.54/492,328.85
  6. Step 6: Final answer
    x = 312,066.53

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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.