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Finding the Fourth Proportional to 582,457.79, 873,832.25 and 462,965.58

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Solution

The fourth proportional to 582,457.79, 873,832.25 and 462,965.58 is: 694,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,457.79 : 873,832.25 = 462,965.58 : x
  2. Step 2: Convert to fraction form
    582,457.79/873,832.25 = 462,965.58/x
  3. Step 3: Cross multiply
    582,457.79x = 873,832.25 × 462,965.58
  4. Step 4: Simplify right side
    582,457.79x = 404,554,255,601.37
  5. Step 5: Solve for x
    x = 404,554,255,601.37/582,457.79
  6. Step 6: Final answer
    x = 694,564.07

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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.