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Finding the Fourth Proportional to 431,983.58, 648,264.60 and 179,264.32

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Solution

The fourth proportional to 431,983.58, 648,264.60 and 179,264.32 is: 269,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,983.58 : 648,264.60 = 179,264.32 : x
  2. Step 2: Convert to fraction form
    431,983.58/648,264.60 = 179,264.32/x
  3. Step 3: Cross multiply
    431,983.58x = 648,264.60 × 179,264.32
  4. Step 4: Simplify right side
    431,983.58x = 116,210,712,699.07
  5. Step 5: Solve for x
    x = 116,210,712,699.07/431,983.58
  6. Step 6: Final answer
    x = 269,016.50

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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.