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Finding the Fourth Proportional to 489,076.20, 683,307 and 489,076.20

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Solution

The fourth proportional to 489,076.20, 683,307 and 489,076.20 is: 683,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,076.20 : 683,307 = 489,076.20 : x
  2. Step 2: Convert to fraction form
    489,076.20/683,307 = 489,076.20/x
  3. Step 3: Cross multiply
    489,076.20x = 683,307 × 489,076.20
  4. Step 4: Simplify right side
    489,076.20x = 334,189,190,993.40
  5. Step 5: Solve for x
    x = 334,189,190,993.40/489,076.20
  6. Step 6: Final answer
    x = 683,307

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.