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Finding the Fourth Proportional to 471,836.07, 707,762.34 and 156,301.25

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Solution

The fourth proportional to 471,836.07, 707,762.34 and 156,301.25 is: 234,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,836.07 : 707,762.34 = 156,301.25 : x
  2. Step 2: Convert to fraction form
    471,836.07/707,762.34 = 156,301.25/x
  3. Step 3: Cross multiply
    471,836.07x = 707,762.34 × 156,301.25
  4. Step 4: Simplify right side
    471,836.07x = 110,624,134,906.11
  5. Step 5: Solve for x
    x = 110,624,134,906.11/471,836.07
  6. Step 6: Final answer
    x = 234,454.60

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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.