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Finding the Fourth Proportional to 418,336.14, 577,303.81 and 227,349.48

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Solution

The fourth proportional to 418,336.14, 577,303.81 and 227,349.48 is: 313,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,336.14 : 577,303.81 = 227,349.48 : x
  2. Step 2: Convert to fraction form
    418,336.14/577,303.81 = 227,349.48/x
  3. Step 3: Cross multiply
    418,336.14x = 577,303.81 × 227,349.48
  4. Step 4: Simplify right side
    418,336.14x = 131,249,722,602.03
  5. Step 5: Solve for x
    x = 131,249,722,602.03/418,336.14
  6. Step 6: Final answer
    x = 313,742.25

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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.