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Finding the Fourth Proportional to 497,227.20, 745,840.80 and 181,643.10

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Solution

The fourth proportional to 497,227.20, 745,840.80 and 181,643.10 is: 272,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,227.20 : 745,840.80 = 181,643.10 : x
  2. Step 2: Convert to fraction form
    497,227.20/745,840.80 = 181,643.10/x
  3. Step 3: Cross multiply
    497,227.20x = 745,840.80 × 181,643.10
  4. Step 4: Simplify right side
    497,227.20x = 135,476,835,018.48
  5. Step 5: Solve for x
    x = 135,476,835,018.48/497,227.20
  6. Step 6: Final answer
    x = 272,464.65

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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.