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Finding the Fourth Proportional to 418,997.84, 578,215.94 and 228,011.18

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Solution

The fourth proportional to 418,997.84, 578,215.94 and 228,011.18 is: 314,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,997.84 : 578,215.94 = 228,011.18 : x
  2. Step 2: Convert to fraction form
    418,997.84/578,215.94 = 228,011.18/x
  3. Step 3: Cross multiply
    418,997.84x = 578,215.94 × 228,011.18
  4. Step 4: Simplify right side
    418,997.84x = 131,839,698,774.21
  5. Step 5: Solve for x
    x = 131,839,698,774.21/418,997.84
  6. Step 6: Final answer
    x = 314,654.84

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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.