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Finding the Fourth Proportional to 264,326.96, 364,268.40 and 259,469.12

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Solution

The fourth proportional to 264,326.96, 364,268.40 and 259,469.12 is: 357,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,326.96 : 364,268.40 = 259,469.12 : x
  2. Step 2: Convert to fraction form
    264,326.96/364,268.40 = 259,469.12/x
  3. Step 3: Cross multiply
    264,326.96x = 364,268.40 × 259,469.12
  4. Step 4: Simplify right side
    264,326.96x = 94,516,401,191.81
  5. Step 5: Solve for x
    x = 94,516,401,191.81/264,326.96
  6. Step 6: Final answer
    x = 357,573.82

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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.