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Finding the Fourth Proportional to 595,665.12, 822,014.82 and 323,728.68

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Solution

The fourth proportional to 595,665.12, 822,014.82 and 323,728.68 is: 446,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,665.12 : 822,014.82 = 323,728.68 : x
  2. Step 2: Convert to fraction form
    595,665.12/822,014.82 = 323,728.68/x
  3. Step 3: Cross multiply
    595,665.12x = 822,014.82 × 323,728.68
  4. Step 4: Simplify right side
    595,665.12x = 266,109,772,619.04
  5. Step 5: Solve for x
    x = 266,109,772,619.04/595,665.12
  6. Step 6: Final answer
    x = 446,743.92

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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.