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Finding the Fourth Proportional to 362,675.40, 500,348.76 and 209,685.60

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Solution

The fourth proportional to 362,675.40, 500,348.76 and 209,685.60 is: 289,283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,675.40 : 500,348.76 = 209,685.60 : x
  2. Step 2: Convert to fraction form
    362,675.40/500,348.76 = 209,685.60/x
  3. Step 3: Cross multiply
    362,675.40x = 500,348.76 × 209,685.60
  4. Step 4: Simplify right side
    362,675.40x = 104,915,929,949.86
  5. Step 5: Solve for x
    x = 104,915,929,949.86/362,675.40
  6. Step 6: Final answer
    x = 289,283.28

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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.