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Finding the Fourth Proportional to 285,368.84, 393,775.25 and 164,549.82

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Solution

The fourth proportional to 285,368.84, 393,775.25 and 164,549.82 is: 227,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,368.84 : 393,775.25 = 164,549.82 : x
  2. Step 2: Convert to fraction form
    285,368.84/393,775.25 = 164,549.82/x
  3. Step 3: Cross multiply
    285,368.84x = 393,775.25 × 164,549.82
  4. Step 4: Simplify right side
    285,368.84x = 64,795,645,685.21
  5. Step 5: Solve for x
    x = 64,795,645,685.21/285,368.84
  6. Step 6: Final answer
    x = 227,059.29

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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.