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Finding the Fourth Proportional to 314,821.69, 472,232.53 and 115,033.16

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Solution

The fourth proportional to 314,821.69, 472,232.53 and 115,033.16 is: 172,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,821.69 : 472,232.53 = 115,033.16 : x
  2. Step 2: Convert to fraction form
    314,821.69/472,232.53 = 115,033.16/x
  3. Step 3: Cross multiply
    314,821.69x = 472,232.53 × 115,033.16
  4. Step 4: Simplify right side
    314,821.69x = 54,322,401,505.07
  5. Step 5: Solve for x
    x = 54,322,401,505.07/314,821.69
  6. Step 6: Final answer
    x = 172,549.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.