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Finding the Fourth Proportional to 315,029.68, 470,536.42 and 284,997.84

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Solution

The fourth proportional to 315,029.68, 470,536.42 and 284,997.84 is: 425,680.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,029.68 : 470,536.42 = 284,997.84 : x
  2. Step 2: Convert to fraction form
    315,029.68/470,536.42 = 284,997.84/x
  3. Step 3: Cross multiply
    315,029.68x = 470,536.42 × 284,997.84
  4. Step 4: Simplify right side
    315,029.68x = 134,101,863,341.33
  5. Step 5: Solve for x
    x = 134,101,863,341.33/315,029.68
  6. Step 6: Final answer
    x = 425,680.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.