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Finding the Fourth Proportional to 595,231.95, 821,426.11 and 323,305.15

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Solution

The fourth proportional to 595,231.95, 821,426.11 and 323,305.15 is: 446,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,231.95 : 821,426.11 = 323,305.15 : x
  2. Step 2: Convert to fraction form
    595,231.95/821,426.11 = 323,305.15/x
  3. Step 3: Cross multiply
    595,231.95x = 821,426.11 × 323,305.15
  4. Step 4: Simplify right side
    595,231.95x = 265,571,291,707.47
  5. Step 5: Solve for x
    x = 265,571,291,707.47/595,231.95
  6. Step 6: Final answer
    x = 446,164.38

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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.