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Finding the Fourth Proportional to 489,034.60, 732,677.10 and 419,050.60

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Solution

The fourth proportional to 489,034.60, 732,677.10 and 419,050.60 is: 627,826.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,034.60 : 732,677.10 = 419,050.60 : x
  2. Step 2: Convert to fraction form
    489,034.60/732,677.10 = 419,050.60/x
  3. Step 3: Cross multiply
    489,034.60x = 732,677.10 × 419,050.60
  4. Step 4: Simplify right side
    489,034.60x = 307,028,778,361.26
  5. Step 5: Solve for x
    x = 307,028,778,361.26/489,034.60
  6. Step 6: Final answer
    x = 627,826.29

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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.