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Finding the Fourth Proportional to 554,219.80, 830,163.30 and 460,907.80

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Solution

The fourth proportional to 554,219.80, 830,163.30 and 460,907.80 is: 690,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,219.80 : 830,163.30 = 460,907.80 : x
  2. Step 2: Convert to fraction form
    554,219.80/830,163.30 = 460,907.80/x
  3. Step 3: Cross multiply
    554,219.80x = 830,163.30 × 460,907.80
  4. Step 4: Simplify right side
    554,219.80x = 382,628,740,243.74
  5. Step 5: Solve for x
    x = 382,628,740,243.74/554,219.80
  6. Step 6: Final answer
    x = 690,391.68

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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.