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Finding the Fourth Proportional to 570,807.40, 856,252.14 and 196,825

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Solution

The fourth proportional to 570,807.40, 856,252.14 and 196,825 is: 295,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,807.40 : 856,252.14 = 196,825 : x
  2. Step 2: Convert to fraction form
    570,807.40/856,252.14 = 196,825/x
  3. Step 3: Cross multiply
    570,807.40x = 856,252.14 × 196,825
  4. Step 4: Simplify right side
    570,807.40x = 168,531,827,455.50
  5. Step 5: Solve for x
    x = 168,531,827,455.50/570,807.40
  6. Step 6: Final answer
    x = 295,251.65

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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.