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Finding the Fourth Proportional to 470,154.33, 705,280.70 and 154,635.84

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Solution

The fourth proportional to 470,154.33, 705,280.70 and 154,635.84 is: 231,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,154.33 : 705,280.70 = 154,635.84 : x
  2. Step 2: Convert to fraction form
    470,154.33/705,280.70 = 154,635.84/x
  3. Step 3: Cross multiply
    470,154.33x = 705,280.70 × 154,635.84
  4. Step 4: Simplify right side
    470,154.33x = 109,061,673,866.88
  5. Step 5: Solve for x
    x = 109,061,673,866.88/470,154.33
  6. Step 6: Final answer
    x = 231,969.94

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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.