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Finding the Fourth Proportional to 595,386, 821,645.64 and 327,114

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Solution

The fourth proportional to 595,386, 821,645.64 and 327,114 is: 451,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,386 : 821,645.64 = 327,114 : x
  2. Step 2: Convert to fraction form
    595,386/821,645.64 = 327,114/x
  3. Step 3: Cross multiply
    595,386x = 821,645.64 × 327,114
  4. Step 4: Simplify right side
    595,386x = 268,771,791,882.96
  5. Step 5: Solve for x
    x = 268,771,791,882.96/595,386
  6. Step 6: Final answer
    x = 451,424.44

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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.