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Finding the Fourth Proportional to 311,810.24, 430,296.80 and 168,570.24

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Solution

The fourth proportional to 311,810.24, 430,296.80 and 168,570.24 is: 232,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,810.24 : 430,296.80 = 168,570.24 : x
  2. Step 2: Convert to fraction form
    311,810.24/430,296.80 = 168,570.24/x
  3. Step 3: Cross multiply
    311,810.24x = 430,296.80 × 168,570.24
  4. Step 4: Simplify right side
    311,810.24x = 72,535,234,847.23
  5. Step 5: Solve for x
    x = 72,535,234,847.23/311,810.24
  6. Step 6: Final answer
    x = 232,626.21

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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.