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Finding the Fourth Proportional to 391,145.60, 585,681.60 and 308,201.60

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Solution

The fourth proportional to 391,145.60, 585,681.60 and 308,201.60 is: 461,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,145.60 : 585,681.60 = 308,201.60 : x
  2. Step 2: Convert to fraction form
    391,145.60/585,681.60 = 308,201.60/x
  3. Step 3: Cross multiply
    391,145.60x = 585,681.60 × 308,201.60
  4. Step 4: Simplify right side
    391,145.60x = 180,508,006,210.56
  5. Step 5: Solve for x
    x = 180,508,006,210.56/391,145.60
  6. Step 6: Final answer
    x = 461,485.46

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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.