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Finding the Fourth Proportional to 822,068.10, 1,224,433.65 and 785,183.82

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Solution

The fourth proportional to 822,068.10, 1,224,433.65 and 785,183.82 is: 1,169,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,068.10 : 1,224,433.65 = 785,183.82 : x
  2. Step 2: Convert to fraction form
    822,068.10/1,224,433.65 = 785,183.82/x
  3. Step 3: Cross multiply
    822,068.10x = 1,224,433.65 × 785,183.82
  4. Step 4: Simplify right side
    822,068.10x = 961,405,490,643.54
  5. Step 5: Solve for x
    x = 961,405,490,643.54/822,068.10
  6. Step 6: Final answer
    x = 1,169,496.17

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Why These Related Problems?

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