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Finding the Fourth Proportional to 489,032.60, 683,816.20 and 489,032.60

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Solution

The fourth proportional to 489,032.60, 683,816.20 and 489,032.60 is: 683,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,032.60 : 683,816.20 = 489,032.60 : x
  2. Step 2: Convert to fraction form
    489,032.60/683,816.20 = 489,032.60/x
  3. Step 3: Cross multiply
    489,032.60x = 683,816.20 × 489,032.60
  4. Step 4: Simplify right side
    489,032.60x = 334,408,414,208.12
  5. Step 5: Solve for x
    x = 334,408,414,208.12/489,032.60
  6. Step 6: Final answer
    x = 683,816.20

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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.