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Finding the Fourth Proportional to 511,541.17, 767,314.33 and 132,435.32

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Solution

The fourth proportional to 511,541.17, 767,314.33 and 132,435.32 is: 198,653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,541.17 : 767,314.33 = 132,435.32 : x
  2. Step 2: Convert to fraction form
    511,541.17/767,314.33 = 132,435.32/x
  3. Step 3: Cross multiply
    511,541.17x = 767,314.33 × 132,435.32
  4. Step 4: Simplify right side
    511,541.17x = 101,619,514,666.48
  5. Step 5: Solve for x
    x = 101,619,514,666.48/511,541.17
  6. Step 6: Final answer
    x = 198,653.64

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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.