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Finding the Fourth Proportional to 493,950.69, 681,683.45 and 302,938.11

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Solution

The fourth proportional to 493,950.69, 681,683.45 and 302,938.11 is: 418,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,950.69 : 681,683.45 = 302,938.11 : x
  2. Step 2: Convert to fraction form
    493,950.69/681,683.45 = 302,938.11/x
  3. Step 3: Cross multiply
    493,950.69x = 681,683.45 × 302,938.11
  4. Step 4: Simplify right side
    493,950.69x = 206,507,894,446.59
  5. Step 5: Solve for x
    x = 206,507,894,446.59/493,950.69
  6. Step 6: Final answer
    x = 418,073.91

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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.