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Finding the Fourth Proportional to 214,461.86, 321,588.54 and 64,674.23

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Solution

The fourth proportional to 214,461.86, 321,588.54 and 64,674.23 is: 96,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.86 : 321,588.54 = 64,674.23 : x
  2. Step 2: Convert to fraction form
    214,461.86/321,588.54 = 64,674.23/x
  3. Step 3: Cross multiply
    214,461.86x = 321,588.54 × 64,674.23
  4. Step 4: Simplify right side
    214,461.86x = 20,798,489,593.38
  5. Step 5: Solve for x
    x = 20,798,489,593.38/214,461.86
  6. Step 6: Final answer
    x = 96,979.90

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1.5x scale

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.