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Finding the Fourth Proportional to 595,909.56, 822,364.17 and 323,976.84

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Solution

The fourth proportional to 595,909.56, 822,364.17 and 323,976.84 is: 447,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,909.56 : 822,364.17 = 323,976.84 : x
  2. Step 2: Convert to fraction form
    595,909.56/822,364.17 = 323,976.84/x
  3. Step 3: Cross multiply
    595,909.56x = 822,364.17 × 323,976.84
  4. Step 4: Simplify right side
    595,909.56x = 266,426,945,125.82
  5. Step 5: Solve for x
    x = 266,426,945,125.82/595,909.56
  6. Step 6: Final answer
    x = 447,092.92

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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.