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Finding the Fourth Proportional to 326,678.67, 490,087.26 and 116,316

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Solution

The fourth proportional to 326,678.67, 490,087.26 and 116,316 is: 174,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,678.67 : 490,087.26 = 116,316 : x
  2. Step 2: Convert to fraction form
    326,678.67/490,087.26 = 116,316/x
  3. Step 3: Cross multiply
    326,678.67x = 490,087.26 × 116,316
  4. Step 4: Simplify right side
    326,678.67x = 57,004,989,734.16
  5. Step 5: Solve for x
    x = 57,004,989,734.16/326,678.67
  6. Step 6: Final answer
    x = 174,498.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.