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Finding the Fourth Proportional to 519,906.60, 778,304.70 and 489,148.20

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Solution

The fourth proportional to 519,906.60, 778,304.70 and 489,148.20 is: 732,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,906.60 : 778,304.70 = 489,148.20 : x
  2. Step 2: Convert to fraction form
    519,906.60/778,304.70 = 489,148.20/x
  3. Step 3: Cross multiply
    519,906.60x = 778,304.70 × 489,148.20
  4. Step 4: Simplify right side
    519,906.60x = 380,706,343,056.54
  5. Step 5: Solve for x
    x = 380,706,343,056.54/519,906.60
  6. Step 6: Final answer
    x = 732,259.11

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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.