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Finding the Fourth Proportional to 471,681.30, 707,556.78 and 134,750.46

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Solution

The fourth proportional to 471,681.30, 707,556.78 and 134,750.46 is: 202,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,681.30 : 707,556.78 = 134,750.46 : x
  2. Step 2: Convert to fraction form
    471,681.30/707,556.78 = 134,750.46/x
  3. Step 3: Cross multiply
    471,681.30x = 707,556.78 × 134,750.46
  4. Step 4: Simplify right side
    471,681.30x = 95,343,601,581.12
  5. Step 5: Solve for x
    x = 95,343,601,581.12/471,681.30
  6. Step 6: Final answer
    x = 202,135.64

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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.