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Finding the Fourth Proportional to 522,090.42, 783,485.58 and 335,233.14

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Solution

The fourth proportional to 522,090.42, 783,485.58 and 335,233.14 is: 503,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,090.42 : 783,485.58 = 335,233.14 : x
  2. Step 2: Convert to fraction form
    522,090.42/783,485.58 = 335,233.14/x
  3. Step 3: Cross multiply
    522,090.42x = 783,485.58 × 335,233.14
  4. Step 4: Simplify right side
    522,090.42x = 262,650,331,128.12
  5. Step 5: Solve for x
    x = 262,650,331,128.12/522,090.42
  6. Step 6: Final answer
    x = 503,074.41

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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.