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Finding the Fourth Proportional to 471,301.20, 707,297.40 and 313,477.20

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Solution

The fourth proportional to 471,301.20, 707,297.40 and 313,477.20 is: 470,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,301.20 : 707,297.40 = 313,477.20 : x
  2. Step 2: Convert to fraction form
    471,301.20/707,297.40 = 313,477.20/x
  3. Step 3: Cross multiply
    471,301.20x = 707,297.40 × 313,477.20
  4. Step 4: Simplify right side
    471,301.20x = 221,721,608,519.28
  5. Step 5: Solve for x
    x = 221,721,608,519.28/471,301.20
  6. Step 6: Final answer
    x = 470,445.67

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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.