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Finding the Fourth Proportional to 314,649.45, 472,042.53 and 114,969.53

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Solution

The fourth proportional to 314,649.45, 472,042.53 and 114,969.53 is: 172,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,649.45 : 472,042.53 = 114,969.53 : x
  2. Step 2: Convert to fraction form
    314,649.45/472,042.53 = 114,969.53/x
  3. Step 3: Cross multiply
    314,649.45x = 472,042.53 × 114,969.53
  4. Step 4: Simplify right side
    314,649.45x = 54,270,508,994.22
  5. Step 5: Solve for x
    x = 54,270,508,994.22/314,649.45
  6. Step 6: Final answer
    x = 172,479.27

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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.