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Finding the Fourth Proportional to 605,050.20, 907,575.30 and 416,093.40

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Solution

The fourth proportional to 605,050.20, 907,575.30 and 416,093.40 is: 624,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,050.20 : 907,575.30 = 416,093.40 : x
  2. Step 2: Convert to fraction form
    605,050.20/907,575.30 = 416,093.40/x
  3. Step 3: Cross multiply
    605,050.20x = 907,575.30 × 416,093.40
  4. Step 4: Simplify right side
    605,050.20x = 377,636,092,333.02
  5. Step 5: Solve for x
    x = 377,636,092,333.02/605,050.20
  6. Step 6: Final answer
    x = 624,140.10

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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.