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Finding the Fourth Proportional to 595,035.32, 821,158.16 and 323,103.06

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Solution

The fourth proportional to 595,035.32, 821,158.16 and 323,103.06 is: 445,887.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,035.32 : 821,158.16 = 323,103.06 : x
  2. Step 2: Convert to fraction form
    595,035.32/821,158.16 = 323,103.06/x
  3. Step 3: Cross multiply
    595,035.32x = 821,158.16 × 323,103.06
  4. Step 4: Simplify right side
    595,035.32x = 265,318,712,624.45
  5. Step 5: Solve for x
    x = 265,318,712,624.45/595,035.32
  6. Step 6: Final answer
    x = 445,887.34

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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.