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Finding the Fourth Proportional to 463,033.05, 638,699.54 and 317,772.51

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Solution

The fourth proportional to 463,033.05, 638,699.54 and 317,772.51 is: 438,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,033.05 : 638,699.54 = 317,772.51 : x
  2. Step 2: Convert to fraction form
    463,033.05/638,699.54 = 317,772.51/x
  3. Step 3: Cross multiply
    463,033.05x = 638,699.54 × 317,772.51
  4. Step 4: Simplify right side
    463,033.05x = 202,961,155,961.65
  5. Step 5: Solve for x
    x = 202,961,155,961.65/463,033.05
  6. Step 6: Final answer
    x = 438,329.74

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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.