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Finding the Fourth Proportional to 430,151.40, 643,914.90 and 382,912.20

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Solution

The fourth proportional to 430,151.40, 643,914.90 and 382,912.20 is: 573,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,151.40 : 643,914.90 = 382,912.20 : x
  2. Step 2: Convert to fraction form
    430,151.40/643,914.90 = 382,912.20/x
  3. Step 3: Cross multiply
    430,151.40x = 643,914.90 × 382,912.20
  4. Step 4: Simplify right side
    430,151.40x = 246,562,870,971.78
  5. Step 5: Solve for x
    x = 246,562,870,971.78/430,151.40
  6. Step 6: Final answer
    x = 573,200.21

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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.