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Finding the Fourth Proportional to 264,316.34, 364,253.74 and 259,458.50

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Solution

The fourth proportional to 264,316.34, 364,253.74 and 259,458.50 is: 357,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,316.34 : 364,253.74 = 259,458.50 : x
  2. Step 2: Convert to fraction form
    264,316.34/364,253.74 = 259,458.50/x
  3. Step 3: Cross multiply
    264,316.34x = 364,253.74 × 259,458.50
  4. Step 4: Simplify right side
    264,316.34x = 94,508,726,529.88
  5. Step 5: Solve for x
    x = 94,508,726,529.88/264,316.34
  6. Step 6: Final answer
    x = 357,559.16

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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.