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Finding the Fourth Proportional to 465,569.16, 642,454.26 and 274,573.96

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Solution

The fourth proportional to 465,569.16, 642,454.26 and 274,573.96 is: 378,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,569.16 : 642,454.26 = 274,573.96 : x
  2. Step 2: Convert to fraction form
    465,569.16/642,454.26 = 274,573.96/x
  3. Step 3: Cross multiply
    465,569.16x = 642,454.26 × 274,573.96
  4. Step 4: Simplify right side
    465,569.16x = 176,401,210,287.07
  5. Step 5: Solve for x
    x = 176,401,210,287.07/465,569.16
  6. Step 6: Final answer
    x = 378,893.68

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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.