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Finding the Fourth Proportional to 827,316, 1,141,571.72 and 464,670.39

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Solution

The fourth proportional to 827,316, 1,141,571.72 and 464,670.39 is: 641,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,316 : 1,141,571.72 = 464,670.39 : x
  2. Step 2: Convert to fraction form
    827,316/1,141,571.72 = 464,670.39/x
  3. Step 3: Cross multiply
    827,316x = 1,141,571.72 × 464,670.39
  4. Step 4: Simplify right side
    827,316x = 530,454,574,022.02
  5. Step 5: Solve for x
    x = 530,454,574,022.02/827,316
  6. Step 6: Final answer
    x = 641,175.29

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Why These Related Problems?

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