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Finding the Fourth Proportional to 388,923.84, 536,714.91 and 219,164.04

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Solution

The fourth proportional to 388,923.84, 536,714.91 and 219,164.04 is: 302,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,923.84 : 536,714.91 = 219,164.04 : x
  2. Step 2: Convert to fraction form
    388,923.84/536,714.91 = 219,164.04/x
  3. Step 3: Cross multiply
    388,923.84x = 536,714.91 × 219,164.04
  4. Step 4: Simplify right side
    388,923.84x = 117,628,610,016.52
  5. Step 5: Solve for x
    x = 117,628,610,016.52/388,923.84
  6. Step 6: Final answer
    x = 302,446.38

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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.