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Finding the Fourth Proportional to 264,293.28, 364,577.76 and 173,664

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Solution

The fourth proportional to 264,293.28, 364,577.76 and 173,664 is: 239,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,293.28 : 364,577.76 = 173,664 : x
  2. Step 2: Convert to fraction form
    264,293.28/364,577.76 = 173,664/x
  3. Step 3: Cross multiply
    264,293.28x = 364,577.76 × 173,664
  4. Step 4: Simplify right side
    264,293.28x = 63,314,032,112.64
  5. Step 5: Solve for x
    x = 63,314,032,112.64/264,293.28
  6. Step 6: Final answer
    x = 239,559.75

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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.