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Finding the Fourth Proportional to 408,078.40, 610,735.20 and 408,078.40

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Solution

The fourth proportional to 408,078.40, 610,735.20 and 408,078.40 is: 610,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.40 : 610,735.20 = 408,078.40 : x
  2. Step 2: Convert to fraction form
    408,078.40/610,735.20 = 408,078.40/x
  3. Step 3: Cross multiply
    408,078.40x = 610,735.20 × 408,078.40
  4. Step 4: Simplify right side
    408,078.40x = 249,227,843,239.68
  5. Step 5: Solve for x
    x = 249,227,843,239.68/408,078.40
  6. Step 6: Final answer
    x = 610,735.20

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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.