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Finding the Fourth Proportional to 605,102.40, 907,653.60 and 416,145.60

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Solution

The fourth proportional to 605,102.40, 907,653.60 and 416,145.60 is: 624,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,102.40 : 907,653.60 = 416,145.60 : x
  2. Step 2: Convert to fraction form
    605,102.40/907,653.60 = 416,145.60/x
  3. Step 3: Cross multiply
    605,102.40x = 907,653.60 × 416,145.60
  4. Step 4: Simplify right side
    605,102.40x = 377,716,051,964.16
  5. Step 5: Solve for x
    x = 377,716,051,964.16/605,102.40
  6. Step 6: Final answer
    x = 624,218.40

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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.