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Finding the Fourth Proportional to 418,138.42, 577,035.94 and 227,154.82

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Solution

The fourth proportional to 418,138.42, 577,035.94 and 227,154.82 is: 313,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,138.42 : 577,035.94 = 227,154.82 : x
  2. Step 2: Convert to fraction form
    418,138.42/577,035.94 = 227,154.82/x
  3. Step 3: Cross multiply
    418,138.42x = 577,035.94 × 227,154.82
  4. Step 4: Simplify right side
    418,138.42x = 131,076,495,084.23
  5. Step 5: Solve for x
    x = 131,076,495,084.23/418,138.42
  6. Step 6: Final answer
    x = 313,476.32

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