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Finding the Fourth Proportional to 418,999.84, 578,217.28 and 228,012.64

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Solution

The fourth proportional to 418,999.84, 578,217.28 and 228,012.64 is: 314,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,999.84 : 578,217.28 = 228,012.64 : x
  2. Step 2: Convert to fraction form
    418,999.84/578,217.28 = 228,012.64/x
  3. Step 3: Cross multiply
    418,999.84x = 578,217.28 × 228,012.64
  4. Step 4: Simplify right side
    418,999.84x = 131,840,848,506.42
  5. Step 5: Solve for x
    x = 131,840,848,506.42/418,999.84
  6. Step 6: Final answer
    x = 314,656.08

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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.