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Finding the Fourth Proportional to 471,355.12, 707,034.14 and 116,369.18

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Solution

The fourth proportional to 471,355.12, 707,034.14 and 116,369.18 is: 174,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,355.12 : 707,034.14 = 116,369.18 : x
  2. Step 2: Convert to fraction form
    471,355.12/707,034.14 = 116,369.18/x
  3. Step 3: Cross multiply
    471,355.12x = 707,034.14 × 116,369.18
  4. Step 4: Simplify right side
    471,355.12x = 82,276,983,103.81
  5. Step 5: Solve for x
    x = 82,276,983,103.81/471,355.12
  6. Step 6: Final answer
    x = 174,554.13

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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.