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Finding the Fourth Proportional to 595,412.46, 821,678.49 and 323,485.74

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Solution

The fourth proportional to 595,412.46, 821,678.49 and 323,485.74 is: 446,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,412.46 : 821,678.49 = 323,485.74 : x
  2. Step 2: Convert to fraction form
    595,412.46/821,678.49 = 323,485.74/x
  3. Step 3: Cross multiply
    595,412.46x = 821,678.49 × 323,485.74
  4. Step 4: Simplify right side
    595,412.46x = 265,801,274,379.73
  5. Step 5: Solve for x
    x = 265,801,274,379.73/595,412.46
  6. Step 6: Final answer
    x = 446,415.37

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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.