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Finding the Fourth Proportional to 471,954.48, 707,457.68 and 151,871.10

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Solution

The fourth proportional to 471,954.48, 707,457.68 and 151,871.10 is: 227,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,954.48 : 707,457.68 = 151,871.10 : x
  2. Step 2: Convert to fraction form
    471,954.48/707,457.68 = 151,871.10/x
  3. Step 3: Cross multiply
    471,954.48x = 707,457.68 × 151,871.10
  4. Step 4: Simplify right side
    471,954.48x = 107,442,376,065.05
  5. Step 5: Solve for x
    x = 107,442,376,065.05/471,954.48
  6. Step 6: Final answer
    x = 227,654.11

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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.