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Finding the Fourth Proportional to 503,733.12, 693,969.43 and 350,507.81

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Solution

The fourth proportional to 503,733.12, 693,969.43 and 350,507.81 is: 482,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,733.12 : 693,969.43 = 350,507.81 : x
  2. Step 2: Convert to fraction form
    503,733.12/693,969.43 = 350,507.81/x
  3. Step 3: Cross multiply
    503,733.12x = 693,969.43 × 350,507.81
  4. Step 4: Simplify right side
    503,733.12x = 243,241,699,893.86
  5. Step 5: Solve for x
    x = 243,241,699,893.86/503,733.12
  6. Step 6: Final answer
    x = 482,878.12

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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.