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Finding the Fourth Proportional to 417,200.30, 624,816.30 and 283,355.90

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Solution

The fourth proportional to 417,200.30, 624,816.30 and 283,355.90 is: 424,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,200.30 : 624,816.30 = 283,355.90 : x
  2. Step 2: Convert to fraction form
    417,200.30/624,816.30 = 283,355.90/x
  3. Step 3: Cross multiply
    417,200.30x = 624,816.30 × 283,355.90
  4. Step 4: Simplify right side
    417,200.30x = 177,045,385,021.17
  5. Step 5: Solve for x
    x = 177,045,385,021.17/417,200.30
  6. Step 6: Final answer
    x = 424,365.43

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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.