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Finding the Fourth Proportional to 471,758.96, 707,507 and 156,240.48

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Solution

The fourth proportional to 471,758.96, 707,507 and 156,240.48 is: 234,317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,758.96 : 707,507 = 156,240.48 : x
  2. Step 2: Convert to fraction form
    471,758.96/707,507 = 156,240.48/x
  3. Step 3: Cross multiply
    471,758.96x = 707,507 × 156,240.48
  4. Step 4: Simplify right side
    471,758.96x = 110,541,233,283.36
  5. Step 5: Solve for x
    x = 110,541,233,283.36/471,758.96
  6. Step 6: Final answer
    x = 234,317.19

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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.