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Finding the Fourth Proportional to 314,653.20, 472,048.16 and 114,973.29

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Solution

The fourth proportional to 314,653.20, 472,048.16 and 114,973.29 is: 172,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,653.20 : 472,048.16 = 114,973.29 : x
  2. Step 2: Convert to fraction form
    314,653.20/472,048.16 = 114,973.29/x
  3. Step 3: Cross multiply
    314,653.20x = 472,048.16 × 114,973.29
  4. Step 4: Simplify right side
    314,653.20x = 54,272,929,418.78
  5. Step 5: Solve for x
    x = 54,272,929,418.78/314,653.20
  6. Step 6: Final answer
    x = 172,484.91

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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.