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Finding the Fourth Proportional to 470,091.12, 705,224.16 and 154,560.48

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Solution

The fourth proportional to 470,091.12, 705,224.16 and 154,560.48 is: 231,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,091.12 : 705,224.16 = 154,560.48 : x
  2. Step 2: Convert to fraction form
    470,091.12/705,224.16 = 154,560.48/x
  3. Step 3: Cross multiply
    470,091.12x = 705,224.16 × 154,560.48
  4. Step 4: Simplify right side
    470,091.12x = 108,999,784,677.20
  5. Step 5: Solve for x
    x = 108,999,784,677.20/470,091.12
  6. Step 6: Final answer
    x = 231,869.48

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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.