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Finding the Fourth Proportional to 585,142.38, 807,817.86 and 367,578

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Solution

The fourth proportional to 585,142.38, 807,817.86 and 367,578 is: 507,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,142.38 : 807,817.86 = 367,578 : x
  2. Step 2: Convert to fraction form
    585,142.38/807,817.86 = 367,578/x
  3. Step 3: Cross multiply
    585,142.38x = 807,817.86 × 367,578
  4. Step 4: Simplify right side
    585,142.38x = 296,936,073,343.08
  5. Step 5: Solve for x
    x = 296,936,073,343.08/585,142.38
  6. Step 6: Final answer
    x = 507,459.52

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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.