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Finding the Fourth Proportional to 570,808.40, 856,253.64 and 196,826

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Solution

The fourth proportional to 570,808.40, 856,253.64 and 196,826 is: 295,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,808.40 : 856,253.64 = 196,826 : x
  2. Step 2: Convert to fraction form
    570,808.40/856,253.64 = 196,826/x
  3. Step 3: Cross multiply
    570,808.40x = 856,253.64 × 196,826
  4. Step 4: Simplify right side
    570,808.40x = 168,532,978,946.64
  5. Step 5: Solve for x
    x = 168,532,978,946.64/570,808.40
  6. Step 6: Final answer
    x = 295,253.15

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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.