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Finding the Fourth Proportional to 407,832.40, 611,748.60 and 108,359.20

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Solution

The fourth proportional to 407,832.40, 611,748.60 and 108,359.20 is: 162,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,832.40 : 611,748.60 = 108,359.20 : x
  2. Step 2: Convert to fraction form
    407,832.40/611,748.60 = 108,359.20/x
  3. Step 3: Cross multiply
    407,832.40x = 611,748.60 × 108,359.20
  4. Step 4: Simplify right side
    407,832.40x = 66,288,588,897.12
  5. Step 5: Solve for x
    x = 66,288,588,897.12/407,832.40
  6. Step 6: Final answer
    x = 162,538.80

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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.