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Finding the Fourth Proportional to 357,029.17, 492,683.92 and 195,880.89

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Solution

The fourth proportional to 357,029.17, 492,683.92 and 195,880.89 is: 270,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,029.17 : 492,683.92 = 195,880.89 : x
  2. Step 2: Convert to fraction form
    357,029.17/492,683.92 = 195,880.89/x
  3. Step 3: Cross multiply
    357,029.17x = 492,683.92 × 195,880.89
  4. Step 4: Simplify right side
    357,029.17x = 96,507,364,738.29
  5. Step 5: Solve for x
    x = 96,507,364,738.29/357,029.17
  6. Step 6: Final answer
    x = 270,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.