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Finding the Fourth Proportional to 277,428.98, 415,968.51 and 152,857.46

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Solution

The fourth proportional to 277,428.98, 415,968.51 and 152,857.46 is: 229,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,428.98 : 415,968.51 = 152,857.46 : x
  2. Step 2: Convert to fraction form
    277,428.98/415,968.51 = 152,857.46/x
  3. Step 3: Cross multiply
    277,428.98x = 415,968.51 × 152,857.46
  4. Step 4: Simplify right side
    277,428.98x = 63,583,889,878.58
  5. Step 5: Solve for x
    x = 63,583,889,878.58/277,428.98
  6. Step 6: Final answer
    x = 229,189.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.