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Finding the Fourth Proportional to 570,830.44, 856,296.23 and 150,106.31

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Solution

The fourth proportional to 570,830.44, 856,296.23 and 150,106.31 is: 225,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,830.44 : 856,296.23 = 150,106.31 : x
  2. Step 2: Convert to fraction form
    570,830.44/856,296.23 = 150,106.31/x
  3. Step 3: Cross multiply
    570,830.44x = 856,296.23 × 150,106.31
  4. Step 4: Simplify right side
    570,830.44x = 128,535,469,868.22
  5. Step 5: Solve for x
    x = 128,535,469,868.22/570,830.44
  6. Step 6: Final answer
    x = 225,172.77

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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.