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Finding the Fourth Proportional to 397,770.91, 596,656.35 and 327,502.60

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Solution

The fourth proportional to 397,770.91, 596,656.35 and 327,502.60 is: 491,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,770.91 : 596,656.35 = 327,502.60 : x
  2. Step 2: Convert to fraction form
    397,770.91/596,656.35 = 327,502.60/x
  3. Step 3: Cross multiply
    397,770.91x = 596,656.35 × 327,502.60
  4. Step 4: Simplify right side
    397,770.91x = 195,406,505,931.51
  5. Step 5: Solve for x
    x = 195,406,505,931.51/397,770.91
  6. Step 6: Final answer
    x = 491,253.89

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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.