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Finding the Fourth Proportional to 265,179.09, 397,304.51 and 180,664.91

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Solution

The fourth proportional to 265,179.09, 397,304.51 and 180,664.91 is: 270,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,179.09 : 397,304.51 = 180,664.91 : x
  2. Step 2: Convert to fraction form
    265,179.09/397,304.51 = 180,664.91/x
  3. Step 3: Cross multiply
    265,179.09x = 397,304.51 × 180,664.91
  4. Step 4: Simplify right side
    265,179.09x = 71,778,983,541.74
  5. Step 5: Solve for x
    x = 71,778,983,541.74/265,179.09
  6. Step 6: Final answer
    x = 270,681.16

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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.