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Finding the Fourth Proportional to 470,224.77, 705,242.79 and 230,235.21

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Solution

The fourth proportional to 470,224.77, 705,242.79 and 230,235.21 is: 345,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,224.77 : 705,242.79 = 230,235.21 : x
  2. Step 2: Convert to fraction form
    470,224.77/705,242.79 = 230,235.21/x
  3. Step 3: Cross multiply
    470,224.77x = 705,242.79 × 230,235.21
  4. Step 4: Simplify right side
    470,224.77x = 162,371,721,856.64
  5. Step 5: Solve for x
    x = 162,371,721,856.64/470,224.77
  6. Step 6: Final answer
    x = 345,306.61

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1.5x scale

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.