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Finding the Fourth Proportional to 470,262, 705,419.73 and 150,441.96

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Solution

The fourth proportional to 470,262, 705,419.73 and 150,441.96 is: 225,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,262 : 705,419.73 = 150,441.96 : x
  2. Step 2: Convert to fraction form
    470,262/705,419.73 = 150,441.96/x
  3. Step 3: Cross multiply
    470,262x = 705,419.73 × 150,441.96
  4. Step 4: Simplify right side
    470,262x = 106,124,726,803.87
  5. Step 5: Solve for x
    x = 106,124,726,803.87/470,262
  6. Step 6: Final answer
    x = 225,671.49

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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.