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Finding the Fourth Proportional to 402,117.40, 603,516.30 and 165,629.80

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Solution

The fourth proportional to 402,117.40, 603,516.30 and 165,629.80 is: 248,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,117.40 : 603,516.30 = 165,629.80 : x
  2. Step 2: Convert to fraction form
    402,117.40/603,516.30 = 165,629.80/x
  3. Step 3: Cross multiply
    402,117.40x = 603,516.30 × 165,629.80
  4. Step 4: Simplify right side
    402,117.40x = 99,960,284,065.74
  5. Step 5: Solve for x
    x = 99,960,284,065.74/402,117.40
  6. Step 6: Final answer
    x = 248,584.83

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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.