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Finding the Fourth Proportional to 465,223.50, 641,702.25 and 335,946.69

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Solution

The fourth proportional to 465,223.50, 641,702.25 and 335,946.69 is: 463,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,223.50 : 641,702.25 = 335,946.69 : x
  2. Step 2: Convert to fraction form
    465,223.50/641,702.25 = 335,946.69/x
  3. Step 3: Cross multiply
    465,223.50x = 641,702.25 × 335,946.69
  4. Step 4: Simplify right side
    465,223.50x = 215,577,746,853.05
  5. Step 5: Solve for x
    x = 215,577,746,853.05/465,223.50
  6. Step 6: Final answer
    x = 463,385.33

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1.5x scale

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.