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Finding the Fourth Proportional to 375,707.10, 518,495.67 and 205,948.38

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Solution

The fourth proportional to 375,707.10, 518,495.67 and 205,948.38 is: 284,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,707.10 : 518,495.67 = 205,948.38 : x
  2. Step 2: Convert to fraction form
    375,707.10/518,495.67 = 205,948.38/x
  3. Step 3: Cross multiply
    375,707.10x = 518,495.67 × 205,948.38
  4. Step 4: Simplify right side
    375,707.10x = 106,783,343,273.52
  5. Step 5: Solve for x
    x = 106,783,343,273.52/375,707.10
  6. Step 6: Final answer
    x = 284,219.66

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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.