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Finding the Fourth Proportional to 585,135.94, 877,736.70 and 164,379

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Solution

The fourth proportional to 585,135.94, 877,736.70 and 164,379 is: 246,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,135.94 : 877,736.70 = 164,379 : x
  2. Step 2: Convert to fraction form
    585,135.94/877,736.70 = 164,379/x
  3. Step 3: Cross multiply
    585,135.94x = 877,736.70 × 164,379
  4. Step 4: Simplify right side
    585,135.94x = 144,281,481,009.30
  5. Step 5: Solve for x
    x = 144,281,481,009.30/585,135.94
  6. Step 6: Final answer
    x = 246,577.71

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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.