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Finding the Fourth Proportional to 323,880.80, 446,956.18 and 180,637.16

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Solution

The fourth proportional to 323,880.80, 446,956.18 and 180,637.16 is: 249,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,880.80 : 446,956.18 = 180,637.16 : x
  2. Step 2: Convert to fraction form
    323,880.80/446,956.18 = 180,637.16/x
  3. Step 3: Cross multiply
    323,880.80x = 446,956.18 × 180,637.16
  4. Step 4: Simplify right side
    323,880.80x = 80,736,892,313.28
  5. Step 5: Solve for x
    x = 80,736,892,313.28/323,880.80
  6. Step 6: Final answer
    x = 249,279.65

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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.