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Finding the Fourth Proportional to 418,497.29, 577,571.43 and 237,189.76

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Solution

The fourth proportional to 418,497.29, 577,571.43 and 237,189.76 is: 327,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,497.29 : 577,571.43 = 237,189.76 : x
  2. Step 2: Convert to fraction form
    418,497.29/577,571.43 = 237,189.76/x
  3. Step 3: Cross multiply
    418,497.29x = 577,571.43 × 237,189.76
  4. Step 4: Simplify right side
    418,497.29x = 136,994,028,864.56
  5. Step 5: Solve for x
    x = 136,994,028,864.56/418,497.29
  6. Step 6: Final answer
    x = 327,347.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.