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Finding the Fourth Proportional to 584,496.42, 806,543.47 and 339,433.34

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Solution

The fourth proportional to 584,496.42, 806,543.47 and 339,433.34 is: 468,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,496.42 : 806,543.47 = 339,433.34 : x
  2. Step 2: Convert to fraction form
    584,496.42/806,543.47 = 339,433.34/x
  3. Step 3: Cross multiply
    584,496.42x = 806,543.47 × 339,433.34
  4. Step 4: Simplify right side
    584,496.42x = 273,767,741,104.20
  5. Step 5: Solve for x
    x = 273,767,741,104.20/584,496.42
  6. Step 6: Final answer
    x = 468,382.23

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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.