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Finding the Fourth Proportional to 463,032.05, 638,698.16 and 317,771.51

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Solution

The fourth proportional to 463,032.05, 638,698.16 and 317,771.51 is: 438,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,032.05 : 638,698.16 = 317,771.51 : x
  2. Step 2: Convert to fraction form
    463,032.05/638,698.16 = 317,771.51/x
  3. Step 3: Cross multiply
    463,032.05x = 638,698.16 × 317,771.51
  4. Step 4: Simplify right side
    463,032.05x = 202,960,076,338.36
  5. Step 5: Solve for x
    x = 202,960,076,338.36/463,032.05
  6. Step 6: Final answer
    x = 438,328.36

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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.