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Finding the Fourth Proportional to 416,969.49, 575,113.82 and 264,032.58

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Solution

The fourth proportional to 416,969.49, 575,113.82 and 264,032.58 is: 364,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,969.49 : 575,113.82 = 264,032.58 : x
  2. Step 2: Convert to fraction form
    416,969.49/575,113.82 = 264,032.58/x
  3. Step 3: Cross multiply
    416,969.49x = 575,113.82 × 264,032.58
  4. Step 4: Simplify right side
    416,969.49x = 151,848,784,368.09
  5. Step 5: Solve for x
    x = 151,848,784,368.09/416,969.49
  6. Step 6: Final answer
    x = 364,172.41

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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.