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Finding the Fourth Proportional to 443,406.40, 664,915.20 and 177,078.40

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Solution

The fourth proportional to 443,406.40, 664,915.20 and 177,078.40 is: 265,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,406.40 : 664,915.20 = 177,078.40 : x
  2. Step 2: Convert to fraction form
    443,406.40/664,915.20 = 177,078.40/x
  3. Step 3: Cross multiply
    443,406.40x = 664,915.20 × 177,078.40
  4. Step 4: Simplify right side
    443,406.40x = 117,742,119,751.68
  5. Step 5: Solve for x
    x = 117,742,119,751.68/443,406.40
  6. Step 6: Final answer
    x = 265,539.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.