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Finding the Fourth Proportional to 470,221.68, 705,238.22 and 230,232.18

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Solution

The fourth proportional to 470,221.68, 705,238.22 and 230,232.18 is: 345,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,221.68 : 705,238.22 = 230,232.18 : x
  2. Step 2: Convert to fraction form
    470,221.68/705,238.22 = 230,232.18/x
  3. Step 3: Cross multiply
    470,221.68x = 705,238.22 × 230,232.18
  4. Step 4: Simplify right side
    470,221.68x = 162,368,531,415.65
  5. Step 5: Solve for x
    x = 162,368,531,415.65/470,221.68
  6. Step 6: Final answer
    x = 345,302.10

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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.