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Finding the Fourth Proportional to 463,317.20, 694,392.60 and 410,829.20

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Solution

The fourth proportional to 463,317.20, 694,392.60 and 410,829.20 is: 615,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,317.20 : 694,392.60 = 410,829.20 : x
  2. Step 2: Convert to fraction form
    463,317.20/694,392.60 = 410,829.20/x
  3. Step 3: Cross multiply
    463,317.20x = 694,392.60 × 410,829.20
  4. Step 4: Simplify right side
    463,317.20x = 285,276,756,343.92
  5. Step 5: Solve for x
    x = 285,276,756,343.92/463,317.20
  6. Step 6: Final answer
    x = 615,726.67

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1.5x scale

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.