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Finding the Fourth Proportional to 434,563.20, 651,844.80 and 418,816.80

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Solution

The fourth proportional to 434,563.20, 651,844.80 and 418,816.80 is: 628,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,563.20 : 651,844.80 = 418,816.80 : x
  2. Step 2: Convert to fraction form
    434,563.20/651,844.80 = 418,816.80/x
  3. Step 3: Cross multiply
    434,563.20x = 651,844.80 × 418,816.80
  4. Step 4: Simplify right side
    434,563.20x = 273,003,553,232.64
  5. Step 5: Solve for x
    x = 273,003,553,232.64/434,563.20
  6. Step 6: Final answer
    x = 628,225.20

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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.