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Finding the Fourth Proportional to 506,340.68, 698,512.23 and 361,178.54

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Solution

The fourth proportional to 506,340.68, 698,512.23 and 361,178.54 is: 498,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,340.68 : 698,512.23 = 361,178.54 : x
  2. Step 2: Convert to fraction form
    506,340.68/698,512.23 = 361,178.54/x
  3. Step 3: Cross multiply
    506,340.68x = 698,512.23 × 361,178.54
  4. Step 4: Simplify right side
    506,340.68x = 252,287,627,403.54
  5. Step 5: Solve for x
    x = 252,287,627,403.54/506,340.68
  6. Step 6: Final answer
    x = 498,256.68

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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.