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Finding the Fourth Proportional to 314,568.39, 472,055.49 and 114,872.07

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Solution

The fourth proportional to 314,568.39, 472,055.49 and 114,872.07 is: 172,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,568.39 : 472,055.49 = 114,872.07 : x
  2. Step 2: Convert to fraction form
    314,568.39/472,055.49 = 114,872.07/x
  3. Step 3: Cross multiply
    314,568.39x = 472,055.49 × 114,872.07
  4. Step 4: Simplify right side
    314,568.39x = 54,225,991,291.16
  5. Step 5: Solve for x
    x = 54,225,991,291.16/314,568.39
  6. Step 6: Final answer
    x = 172,382.20

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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.