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Finding the Fourth Proportional to 595,421.46, 821,690.94 and 323,494.74

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Solution

The fourth proportional to 595,421.46, 821,690.94 and 323,494.74 is: 446,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,421.46 : 821,690.94 = 323,494.74 : x
  2. Step 2: Convert to fraction form
    595,421.46/821,690.94 = 323,494.74/x
  3. Step 3: Cross multiply
    595,421.46x = 821,690.94 × 323,494.74
  4. Step 4: Simplify right side
    595,421.46x = 265,812,696,995.66
  5. Step 5: Solve for x
    x = 265,812,696,995.66/595,421.46
  6. Step 6: Final answer
    x = 446,427.81

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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.