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Finding the Fourth Proportional to 314,722.37, 472,495.10 and 186,872.10

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Solution

The fourth proportional to 314,722.37, 472,495.10 and 186,872.10 is: 280,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,722.37 : 472,495.10 = 186,872.10 : x
  2. Step 2: Convert to fraction form
    314,722.37/472,495.10 = 186,872.10/x
  3. Step 3: Cross multiply
    314,722.37x = 472,495.10 × 186,872.10
  4. Step 4: Simplify right side
    314,722.37x = 88,296,150,642.35
  5. Step 5: Solve for x
    x = 88,296,150,642.35/314,722.37
  6. Step 6: Final answer
    x = 280,552.51

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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.