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Finding the Fourth Proportional to 1,230,978.24, 1,846,706.40 and 472,764

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Solution

The fourth proportional to 1,230,978.24, 1,846,706.40 and 472,764 is: 709,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,978.24 : 1,846,706.40 = 472,764 : x
  2. Step 2: Convert to fraction form
    1,230,978.24/1,846,706.40 = 472,764/x
  3. Step 3: Cross multiply
    1,230,978.24x = 1,846,706.40 × 472,764
  4. Step 4: Simplify right side
    1,230,978.24x = 873,056,304,489.60
  5. Step 5: Solve for x
    x = 873,056,304,489.60/1,230,978.24
  6. Step 6: Final answer
    x = 709,237.80

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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.