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Finding the Fourth Proportional to 489,029.60, 683,812 and 489,029.60

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Solution

The fourth proportional to 489,029.60, 683,812 and 489,029.60 is: 683,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,029.60 : 683,812 = 489,029.60 : x
  2. Step 2: Convert to fraction form
    489,029.60/683,812 = 489,029.60/x
  3. Step 3: Cross multiply
    489,029.60x = 683,812 × 489,029.60
  4. Step 4: Simplify right side
    489,029.60x = 334,404,308,835.20
  5. Step 5: Solve for x
    x = 334,404,308,835.20/489,029.60
  6. Step 6: Final answer
    x = 683,812

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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.