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Finding the Fourth Proportional to 523,907.14, 785,780.52 and 168,884.14

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Solution

The fourth proportional to 523,907.14, 785,780.52 and 168,884.14 is: 253,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,907.14 : 785,780.52 = 168,884.14 : x
  2. Step 2: Convert to fraction form
    523,907.14/785,780.52 = 168,884.14/x
  3. Step 3: Cross multiply
    523,907.14x = 785,780.52 × 168,884.14
  4. Step 4: Simplify right side
    523,907.14x = 132,705,867,348.95
  5. Step 5: Solve for x
    x = 132,705,867,348.95/523,907.14
  6. Step 6: Final answer
    x = 253,300.36

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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.