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Finding the Fourth Proportional to 506,930.20, 699,854.94 and 378,576.40

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Solution

The fourth proportional to 506,930.20, 699,854.94 and 378,576.40 is: 522,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,930.20 : 699,854.94 = 378,576.40 : x
  2. Step 2: Convert to fraction form
    506,930.20/699,854.94 = 378,576.40/x
  3. Step 3: Cross multiply
    506,930.20x = 699,854.94 × 378,576.40
  4. Step 4: Simplify right side
    506,930.20x = 264,948,563,707.42
  5. Step 5: Solve for x
    x = 264,948,563,707.42/506,930.20
  6. Step 6: Final answer
    x = 522,652.95

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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.