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Finding the Fourth Proportional to 594,643.14, 820,613.54 and 322,713.38

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Solution

The fourth proportional to 594,643.14, 820,613.54 and 322,713.38 is: 445,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,643.14 : 820,613.54 = 322,713.38 : x
  2. Step 2: Convert to fraction form
    594,643.14/820,613.54 = 322,713.38/x
  3. Step 3: Cross multiply
    594,643.14x = 820,613.54 × 322,713.38
  4. Step 4: Simplify right side
    594,643.14x = 264,822,972,025.48
  5. Step 5: Solve for x
    x = 264,822,972,025.48/594,643.14
  6. Step 6: Final answer
    x = 445,347.73

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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.