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Finding the Fourth Proportional to 336,154.34, 463,915.92 and 205,387.96

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Solution

The fourth proportional to 336,154.34, 463,915.92 and 205,387.96 is: 283,449.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,154.34 : 463,915.92 = 205,387.96 : x
  2. Step 2: Convert to fraction form
    336,154.34/463,915.92 = 205,387.96/x
  3. Step 3: Cross multiply
    336,154.34x = 463,915.92 × 205,387.96
  4. Step 4: Simplify right side
    336,154.34x = 95,282,744,420.32
  5. Step 5: Solve for x
    x = 95,282,744,420.32/336,154.34
  6. Step 6: Final answer
    x = 283,449.40

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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.