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Finding the Fourth Proportional to 310,123.60, 465,622.80 and 192,025.60

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Solution

The fourth proportional to 310,123.60, 465,622.80 and 192,025.60 is: 288,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,123.60 : 465,622.80 = 192,025.60 : x
  2. Step 2: Convert to fraction form
    310,123.60/465,622.80 = 192,025.60/x
  3. Step 3: Cross multiply
    310,123.60x = 465,622.80 × 192,025.60
  4. Step 4: Simplify right side
    310,123.60x = 89,411,497,543.68
  5. Step 5: Solve for x
    x = 89,411,497,543.68/310,123.60
  6. Step 6: Final answer
    x = 288,309.23

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1.5x scale

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.