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Finding the Fourth Proportional to 471,498.28, 707,354.34 and 155,954.68

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Solution

The fourth proportional to 471,498.28, 707,354.34 and 155,954.68 is: 233,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,498.28 : 707,354.34 = 155,954.68 : x
  2. Step 2: Convert to fraction form
    471,498.28/707,354.34 = 155,954.68/x
  3. Step 3: Cross multiply
    471,498.28x = 707,354.34 × 155,954.68
  4. Step 4: Simplify right side
    471,498.28x = 110,315,219,741.31
  5. Step 5: Solve for x
    x = 110,315,219,741.31/471,498.28
  6. Step 6: Final answer
    x = 233,967.39

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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.