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Finding the Fourth Proportional to 595,035.29, 821,033.14 and 353,393.66

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Solution

The fourth proportional to 595,035.29, 821,033.14 and 353,393.66 is: 487,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,035.29 : 821,033.14 = 353,393.66 : x
  2. Step 2: Convert to fraction form
    595,035.29/821,033.14 = 353,393.66/x
  3. Step 3: Cross multiply
    595,035.29x = 821,033.14 × 353,393.66
  4. Step 4: Simplify right side
    595,035.29x = 290,147,906,325.89
  5. Step 5: Solve for x
    x = 290,147,906,325.89/595,035.29
  6. Step 6: Final answer
    x = 487,614.62

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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.