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Finding the Fourth Proportional to 397,651.68, 596,457.60 and 148,314.24

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Solution

The fourth proportional to 397,651.68, 596,457.60 and 148,314.24 is: 222,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,651.68 : 596,457.60 = 148,314.24 : x
  2. Step 2: Convert to fraction form
    397,651.68/596,457.60 = 148,314.24/x
  3. Step 3: Cross multiply
    397,651.68x = 596,457.60 × 148,314.24
  4. Step 4: Simplify right side
    397,651.68x = 88,463,155,636.22
  5. Step 5: Solve for x
    x = 88,463,155,636.22/397,651.68
  6. Step 6: Final answer
    x = 222,463.93

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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.