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Finding the Fourth Proportional to 384,059.94, 530,097.58 and 233,283.30

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Solution

The fourth proportional to 384,059.94, 530,097.58 and 233,283.30 is: 321,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,059.94 : 530,097.58 = 233,283.30 : x
  2. Step 2: Convert to fraction form
    384,059.94/530,097.58 = 233,283.30/x
  3. Step 3: Cross multiply
    384,059.94x = 530,097.58 × 233,283.30
  4. Step 4: Simplify right side
    384,059.94x = 123,662,912,784.41
  5. Step 5: Solve for x
    x = 123,662,912,784.41/384,059.94
  6. Step 6: Final answer
    x = 321,988.57

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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.