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Finding the Fourth Proportional to 470,424.96, 705,636 and 189,938.88

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Solution

The fourth proportional to 470,424.96, 705,636 and 189,938.88 is: 284,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,424.96 : 705,636 = 189,938.88 : x
  2. Step 2: Convert to fraction form
    470,424.96/705,636 = 189,938.88/x
  3. Step 3: Cross multiply
    470,424.96x = 705,636 × 189,938.88
  4. Step 4: Simplify right side
    470,424.96x = 134,027,711,527.68
  5. Step 5: Solve for x
    x = 134,027,711,527.68/470,424.96
  6. Step 6: Final answer
    x = 284,907.74

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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.