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Finding the Fourth Proportional to 570,920.28, 856,394.31 and 191,846.50

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Solution

The fourth proportional to 570,920.28, 856,394.31 and 191,846.50 is: 287,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,920.28 : 856,394.31 = 191,846.50 : x
  2. Step 2: Convert to fraction form
    570,920.28/856,394.31 = 191,846.50/x
  3. Step 3: Cross multiply
    570,920.28x = 856,394.31 × 191,846.50
  4. Step 4: Simplify right side
    570,920.28x = 164,296,249,571.85
  5. Step 5: Solve for x
    x = 164,296,249,571.85/570,920.28
  6. Step 6: Final answer
    x = 287,774.42

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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.