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Finding the Fourth Proportional to 500,569.13, 690,834.96 and 285,741.51

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Solution

The fourth proportional to 500,569.13, 690,834.96 and 285,741.51 is: 394,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,569.13 : 690,834.96 = 285,741.51 : x
  2. Step 2: Convert to fraction form
    500,569.13/690,834.96 = 285,741.51/x
  3. Step 3: Cross multiply
    500,569.13x = 690,834.96 × 285,741.51
  4. Step 4: Simplify right side
    500,569.13x = 197,400,224,631.19
  5. Step 5: Solve for x
    x = 197,400,224,631.19/500,569.13
  6. Step 6: Final answer
    x = 394,351.58

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