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Finding the Fourth Proportional to 419,896.38, 579,274.11 and 266,852.55

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Solution

The fourth proportional to 419,896.38, 579,274.11 and 266,852.55 is: 368,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,896.38 : 579,274.11 = 266,852.55 : x
  2. Step 2: Convert to fraction form
    419,896.38/579,274.11 = 266,852.55/x
  3. Step 3: Cross multiply
    419,896.38x = 579,274.11 × 266,852.55
  4. Step 4: Simplify right side
    419,896.38x = 154,580,772,068.22
  5. Step 5: Solve for x
    x = 154,580,772,068.22/419,896.38
  6. Step 6: Final answer
    x = 368,140.28

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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.