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Finding the Fourth Proportional to 465,559.32, 642,421.96 and 312,566.52

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Solution

The fourth proportional to 465,559.32, 642,421.96 and 312,566.52 is: 431,308.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,559.32 : 642,421.96 = 312,566.52 : x
  2. Step 2: Convert to fraction form
    465,559.32/642,421.96 = 312,566.52/x
  3. Step 3: Cross multiply
    465,559.32x = 642,421.96 × 312,566.52
  4. Step 4: Simplify right side
    465,559.32x = 200,799,596,408.78
  5. Step 5: Solve for x
    x = 200,799,596,408.78/465,559.32
  6. Step 6: Final answer
    x = 431,308.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.