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Finding the Fourth Proportional to 471,639.60, 707,014.68 and 234,758.34

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Solution

The fourth proportional to 471,639.60, 707,014.68 and 234,758.34 is: 351,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,639.60 : 707,014.68 = 234,758.34 : x
  2. Step 2: Convert to fraction form
    471,639.60/707,014.68 = 234,758.34/x
  3. Step 3: Cross multiply
    471,639.60x = 707,014.68 × 234,758.34
  4. Step 4: Simplify right side
    471,639.60x = 165,977,592,632.43
  5. Step 5: Solve for x
    x = 165,977,592,632.43/471,639.60
  6. Step 6: Final answer
    x = 351,916.15

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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.