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Finding the Fourth Proportional to 314,363.76, 433,826.52 and 171,128.28

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Solution

The fourth proportional to 314,363.76, 433,826.52 and 171,128.28 is: 236,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,363.76 : 433,826.52 = 171,128.28 : x
  2. Step 2: Convert to fraction form
    314,363.76/433,826.52 = 171,128.28/x
  3. Step 3: Cross multiply
    314,363.76x = 433,826.52 × 171,128.28
  4. Step 4: Simplify right side
    314,363.76x = 74,239,986,185.99
  5. Step 5: Solve for x
    x = 74,239,986,185.99/314,363.76
  6. Step 6: Final answer
    x = 236,159.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.