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Finding the Fourth Proportional to 408,801.60, 613,202.40 and 282,830.40

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Solution

The fourth proportional to 408,801.60, 613,202.40 and 282,830.40 is: 424,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,801.60 : 613,202.40 = 282,830.40 : x
  2. Step 2: Convert to fraction form
    408,801.60/613,202.40 = 282,830.40/x
  3. Step 3: Cross multiply
    408,801.60x = 613,202.40 × 282,830.40
  4. Step 4: Simplify right side
    408,801.60x = 173,432,280,072.96
  5. Step 5: Solve for x
    x = 173,432,280,072.96/408,801.60
  6. Step 6: Final answer
    x = 424,245.60

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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.