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Finding the Fourth Proportional to 416,409.60, 624,614.40 and 191,769.60

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Solution

The fourth proportional to 416,409.60, 624,614.40 and 191,769.60 is: 287,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,409.60 : 624,614.40 = 191,769.60 : x
  2. Step 2: Convert to fraction form
    416,409.60/624,614.40 = 191,769.60/x
  3. Step 3: Cross multiply
    416,409.60x = 624,614.40 × 191,769.60
  4. Step 4: Simplify right side
    416,409.60x = 119,782,053,642.24
  5. Step 5: Solve for x
    x = 119,782,053,642.24/416,409.60
  6. Step 6: Final answer
    x = 287,654.40

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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.