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Finding the Fourth Proportional to 470,010.60, 704,986.74 and 150,154.56

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Solution

The fourth proportional to 470,010.60, 704,986.74 and 150,154.56 is: 225,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,010.60 : 704,986.74 = 150,154.56 : x
  2. Step 2: Convert to fraction form
    470,010.60/704,986.74 = 150,154.56/x
  3. Step 3: Cross multiply
    470,010.60x = 704,986.74 × 150,154.56
  4. Step 4: Simplify right side
    470,010.60x = 105,856,973,750.53
  5. Step 5: Solve for x
    x = 105,856,973,750.53/470,010.60
  6. Step 6: Final answer
    x = 225,222.52

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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.