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Finding the Fourth Proportional to 497,062.12, 745,411.74 and 181,425.64

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Solution

The fourth proportional to 497,062.12, 745,411.74 and 181,425.64 is: 272,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,062.12 : 745,411.74 = 181,425.64 : x
  2. Step 2: Convert to fraction form
    497,062.12/745,411.74 = 181,425.64/x
  3. Step 3: Cross multiply
    497,062.12x = 745,411.74 × 181,425.64
  4. Step 4: Simplify right side
    497,062.12x = 135,236,801,993.01
  5. Step 5: Solve for x
    x = 135,236,801,993.01/497,062.12
  6. Step 6: Final answer
    x = 272,072.24

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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.