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Finding the Fourth Proportional to 316,712, 437,049.76 and 189,457.92

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Solution

The fourth proportional to 316,712, 437,049.76 and 189,457.92 is: 261,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,712 : 437,049.76 = 189,457.92 : x
  2. Step 2: Convert to fraction form
    316,712/437,049.76 = 189,457.92/x
  3. Step 3: Cross multiply
    316,712x = 437,049.76 × 189,457.92
  4. Step 4: Simplify right side
    316,712x = 82,802,538,466.10
  5. Step 5: Solve for x
    x = 82,802,538,466.10/316,712
  6. Step 6: Final answer
    x = 261,444.27

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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.