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Finding the Fourth Proportional to 413,401.44, 570,556.44 and 252,350.40

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Solution

The fourth proportional to 413,401.44, 570,556.44 and 252,350.40 is: 348,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,401.44 : 570,556.44 = 252,350.40 : x
  2. Step 2: Convert to fraction form
    413,401.44/570,556.44 = 252,350.40/x
  3. Step 3: Cross multiply
    413,401.44x = 570,556.44 × 252,350.40
  4. Step 4: Simplify right side
    413,401.44x = 143,980,145,856.58
  5. Step 5: Solve for x
    x = 143,980,145,856.58/413,401.44
  6. Step 6: Final answer
    x = 348,281.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.