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Finding the Fourth Proportional to 470,588.77, 705,486.43 and 204,148.41

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Solution

The fourth proportional to 470,588.77, 705,486.43 and 204,148.41 is: 306,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,588.77 : 705,486.43 = 204,148.41 : x
  2. Step 2: Convert to fraction form
    470,588.77/705,486.43 = 204,148.41/x
  3. Step 3: Cross multiply
    470,588.77x = 705,486.43 × 204,148.41
  4. Step 4: Simplify right side
    470,588.77x = 144,023,932,961.08
  5. Step 5: Solve for x
    x = 144,023,932,961.08/470,588.77
  6. Step 6: Final answer
    x = 306,050.51

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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.