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Finding the Fourth Proportional to 323,802.40, 446,793.60 and 180,558.40

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Solution

The fourth proportional to 323,802.40, 446,793.60 and 180,558.40 is: 249,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,802.40 : 446,793.60 = 180,558.40 : x
  2. Step 2: Convert to fraction form
    323,802.40/446,793.60 = 180,558.40/x
  3. Step 3: Cross multiply
    323,802.40x = 446,793.60 × 180,558.40
  4. Step 4: Simplify right side
    323,802.40x = 80,672,337,546.24
  5. Step 5: Solve for x
    x = 80,672,337,546.24/323,802.40
  6. Step 6: Final answer
    x = 249,140.64

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1.5x scale

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.