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Finding the Fourth Proportional to 561,273.62, 774,328.23 and 414,450.30

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Solution

The fourth proportional to 561,273.62, 774,328.23 and 414,450.30 is: 571,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,273.62 : 774,328.23 = 414,450.30 : x
  2. Step 2: Convert to fraction form
    561,273.62/774,328.23 = 414,450.30/x
  3. Step 3: Cross multiply
    561,273.62x = 774,328.23 × 414,450.30
  4. Step 4: Simplify right side
    561,273.62x = 320,920,567,221.97
  5. Step 5: Solve for x
    x = 320,920,567,221.97/561,273.62
  6. Step 6: Final answer
    x = 571,772.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.