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Finding the Fourth Proportional to 471,397.98, 650,543.90 and 267,457.50

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Solution

The fourth proportional to 471,397.98, 650,543.90 and 267,457.50 is: 369,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,397.98 : 650,543.90 = 267,457.50 : x
  2. Step 2: Convert to fraction form
    471,397.98/650,543.90 = 267,457.50/x
  3. Step 3: Cross multiply
    471,397.98x = 650,543.90 × 267,457.50
  4. Step 4: Simplify right side
    471,397.98x = 173,992,843,796.96
  5. Step 5: Solve for x
    x = 173,992,843,796.96/471,397.98
  6. Step 6: Final answer
    x = 369,099.68

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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.