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Finding the Fourth Proportional to 456,717.76, 684,605.76 and 190,633.12

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Solution

The fourth proportional to 456,717.76, 684,605.76 and 190,633.12 is: 285,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,717.76 : 684,605.76 = 190,633.12 : x
  2. Step 2: Convert to fraction form
    456,717.76/684,605.76 = 190,633.12/x
  3. Step 3: Cross multiply
    456,717.76x = 684,605.76 × 190,633.12
  4. Step 4: Simplify right side
    456,717.76x = 130,508,531,998.77
  5. Step 5: Solve for x
    x = 130,508,531,998.77/456,717.76
  6. Step 6: Final answer
    x = 285,753.14

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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.