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Finding the Fourth Proportional to 570,541.80, 856,427.10 and 321,709.80

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Solution

The fourth proportional to 570,541.80, 856,427.10 and 321,709.80 is: 482,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,541.80 : 856,427.10 = 321,709.80 : x
  2. Step 2: Convert to fraction form
    570,541.80/856,427.10 = 321,709.80/x
  3. Step 3: Cross multiply
    570,541.80x = 856,427.10 × 321,709.80
  4. Step 4: Simplify right side
    570,541.80x = 275,520,991,055.58
  5. Step 5: Solve for x
    x = 275,520,991,055.58/570,541.80
  6. Step 6: Final answer
    x = 482,911.14

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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.