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Finding the Fourth Proportional to 564,190.80, 845,746.80 and 209,109.60

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Solution

The fourth proportional to 564,190.80, 845,746.80 and 209,109.60 is: 313,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,190.80 : 845,746.80 = 209,109.60 : x
  2. Step 2: Convert to fraction form
    564,190.80/845,746.80 = 209,109.60/x
  3. Step 3: Cross multiply
    564,190.80x = 845,746.80 × 209,109.60
  4. Step 4: Simplify right side
    564,190.80x = 176,853,775,049.28
  5. Step 5: Solve for x
    x = 176,853,775,049.28/564,190.80
  6. Step 6: Final answer
    x = 313,464.48

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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.