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Finding the Fourth Proportional to 418,717.36, 577,813.32 and 227,730.64

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Solution

The fourth proportional to 418,717.36, 577,813.32 and 227,730.64 is: 314,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,717.36 : 577,813.32 = 227,730.64 : x
  2. Step 2: Convert to fraction form
    418,717.36/577,813.32 = 227,730.64/x
  3. Step 3: Cross multiply
    418,717.36x = 577,813.32 × 227,730.64
  4. Step 4: Simplify right side
    418,717.36x = 131,585,797,164.13
  5. Step 5: Solve for x
    x = 131,585,797,164.13/418,717.36
  6. Step 6: Final answer
    x = 314,259.23

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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.