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Finding the Fourth Proportional to 283,501.20, 425,907.90 and 194,927.70

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Solution

The fourth proportional to 283,501.20, 425,907.90 and 194,927.70 is: 292,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,501.20 : 425,907.90 = 194,927.70 : x
  2. Step 2: Convert to fraction form
    283,501.20/425,907.90 = 194,927.70/x
  3. Step 3: Cross multiply
    283,501.20x = 425,907.90 × 194,927.70
  4. Step 4: Simplify right side
    283,501.20x = 83,021,247,358.83
  5. Step 5: Solve for x
    x = 83,021,247,358.83/283,501.20
  6. Step 6: Final answer
    x = 292,842.67

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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.