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Finding the Fourth Proportional to 595,486.86, 821,808.63 and 340,832.22

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Solution

The fourth proportional to 595,486.86, 821,808.63 and 340,832.22 is: 470,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,486.86 : 821,808.63 = 340,832.22 : x
  2. Step 2: Convert to fraction form
    595,486.86/821,808.63 = 340,832.22/x
  3. Step 3: Cross multiply
    595,486.86x = 821,808.63 × 340,832.22
  4. Step 4: Simplify right side
    595,486.86x = 280,098,859,778.06
  5. Step 5: Solve for x
    x = 280,098,859,778.06/595,486.86
  6. Step 6: Final answer
    x = 470,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.