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Finding the Fourth Proportional to 821,817, 1,226,707.32 and 724,746.77

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Solution

The fourth proportional to 821,817, 1,226,707.32 and 724,746.77 is: 1,081,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,817 : 1,226,707.32 = 724,746.77 : x
  2. Step 2: Convert to fraction form
    821,817/1,226,707.32 = 724,746.77/x
  3. Step 3: Cross multiply
    821,817x = 1,226,707.32 × 724,746.77
  4. Step 4: Simplify right side
    821,817x = 889,052,167,905.36
  5. Step 5: Solve for x
    x = 889,052,167,905.36/821,817
  6. Step 6: Final answer
    x = 1,081,812.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.