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Finding the Fourth Proportional to 409,622.80, 614,434.20 and 283,651.60

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Solution

The fourth proportional to 409,622.80, 614,434.20 and 283,651.60 is: 425,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,622.80 : 614,434.20 = 283,651.60 : x
  2. Step 2: Convert to fraction form
    409,622.80/614,434.20 = 283,651.60/x
  3. Step 3: Cross multiply
    409,622.80x = 614,434.20 × 283,651.60
  4. Step 4: Simplify right side
    409,622.80x = 174,285,243,924.72
  5. Step 5: Solve for x
    x = 174,285,243,924.72/409,622.80
  6. Step 6: Final answer
    x = 425,477.40

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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.