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Finding the Fourth Proportional to 569,628.70, 853,695.60 and 419,164.45

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Solution

The fourth proportional to 569,628.70, 853,695.60 and 419,164.45 is: 628,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,628.70 : 853,695.60 = 419,164.45 : x
  2. Step 2: Convert to fraction form
    569,628.70/853,695.60 = 419,164.45/x
  3. Step 3: Cross multiply
    569,628.70x = 853,695.60 × 419,164.45
  4. Step 4: Simplify right side
    569,628.70x = 357,838,846,641.42
  5. Step 5: Solve for x
    x = 357,838,846,641.42/569,628.70
  6. Step 6: Final answer
    x = 628,196.66

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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.