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Finding the Fourth Proportional to 365,746.33, 504,709.63 and 204,570.24

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Solution

The fourth proportional to 365,746.33, 504,709.63 and 204,570.24 is: 282,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,746.33 : 504,709.63 = 204,570.24 : x
  2. Step 2: Convert to fraction form
    365,746.33/504,709.63 = 204,570.24/x
  3. Step 3: Cross multiply
    365,746.33x = 504,709.63 × 204,570.24
  4. Step 4: Simplify right side
    365,746.33x = 103,248,569,627.99
  5. Step 5: Solve for x
    x = 103,248,569,627.99/365,746.33
  6. Step 6: Final answer
    x = 282,295.57

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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.