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Finding the Fourth Proportional to 431,617.60, 595,529.76 and 261,847.36

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Solution

The fourth proportional to 431,617.60, 595,529.76 and 261,847.36 is: 361,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,617.60 : 595,529.76 = 261,847.36 : x
  2. Step 2: Convert to fraction form
    431,617.60/595,529.76 = 261,847.36/x
  3. Step 3: Cross multiply
    431,617.60x = 595,529.76 × 261,847.36
  4. Step 4: Simplify right side
    431,617.60x = 155,937,895,457.43
  5. Step 5: Solve for x
    x = 155,937,895,457.43/431,617.60
  6. Step 6: Final answer
    x = 361,287.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.