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Finding the Fourth Proportional to 404,457.42, 558,200.64 and 232,375.02

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Solution

The fourth proportional to 404,457.42, 558,200.64 and 232,375.02 is: 320,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,457.42 : 558,200.64 = 232,375.02 : x
  2. Step 2: Convert to fraction form
    404,457.42/558,200.64 = 232,375.02/x
  3. Step 3: Cross multiply
    404,457.42x = 558,200.64 × 232,375.02
  4. Step 4: Simplify right side
    404,457.42x = 129,711,884,884.01
  5. Step 5: Solve for x
    x = 129,711,884,884.01/404,457.42
  6. Step 6: Final answer
    x = 320,705.91

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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.