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Finding the Fourth Proportional to 264,261.84, 364,984.32 and 174,021.36

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Solution

The fourth proportional to 264,261.84, 364,984.32 and 174,021.36 is: 240,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,261.84 : 364,984.32 = 174,021.36 : x
  2. Step 2: Convert to fraction form
    264,261.84/364,984.32 = 174,021.36/x
  3. Step 3: Cross multiply
    264,261.84x = 364,984.32 × 174,021.36
  4. Step 4: Simplify right side
    264,261.84x = 63,515,067,745.08
  5. Step 5: Solve for x
    x = 63,515,067,745.08/264,261.84
  6. Step 6: Final answer
    x = 240,349.00

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1.5x scale

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.