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Finding the Fourth Proportional to 418,530.84, 577,569.72 and 227,544.24

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Solution

The fourth proportional to 418,530.84, 577,569.72 and 227,544.24 is: 314,009.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,530.84 : 577,569.72 = 227,544.24 : x
  2. Step 2: Convert to fraction form
    418,530.84/577,569.72 = 227,544.24/x
  3. Step 3: Cross multiply
    418,530.84x = 577,569.72 × 227,544.24
  4. Step 4: Simplify right side
    418,530.84x = 131,422,662,984.41
  5. Step 5: Solve for x
    x = 131,422,662,984.41/418,530.84
  6. Step 6: Final answer
    x = 314,009.51

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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.