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Finding the Fourth Proportional to 783,000.24, 1,080,489.14 and 460,648

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Solution

The fourth proportional to 783,000.24, 1,080,489.14 and 460,648 is: 635,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,000.24 : 1,080,489.14 = 460,648 : x
  2. Step 2: Convert to fraction form
    783,000.24/1,080,489.14 = 460,648/x
  3. Step 3: Cross multiply
    783,000.24x = 1,080,489.14 × 460,648
  4. Step 4: Simplify right side
    783,000.24x = 497,725,161,362.72
  5. Step 5: Solve for x
    x = 497,725,161,362.72/783,000.24
  6. Step 6: Final answer
    x = 635,664.12

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