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Finding the Fourth Proportional to 377,096.38, 520,403.27 and 205,025.93

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Solution

The fourth proportional to 377,096.38, 520,403.27 and 205,025.93 is: 282,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,096.38 : 520,403.27 = 205,025.93 : x
  2. Step 2: Convert to fraction form
    377,096.38/520,403.27 = 205,025.93/x
  3. Step 3: Cross multiply
    377,096.38x = 520,403.27 × 205,025.93
  4. Step 4: Simplify right side
    377,096.38x = 106,696,160,779.65
  5. Step 5: Solve for x
    x = 106,696,160,779.65/377,096.38
  6. Step 6: Final answer
    x = 282,941.36

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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.