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Finding the Fourth Proportional to 653,754.80, 980,437.80 and 254,165.60

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Solution

The fourth proportional to 653,754.80, 980,437.80 and 254,165.60 is: 381,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,754.80 : 980,437.80 = 254,165.60 : x
  2. Step 2: Convert to fraction form
    653,754.80/980,437.80 = 254,165.60/x
  3. Step 3: Cross multiply
    653,754.80x = 980,437.80 × 254,165.60
  4. Step 4: Simplify right side
    653,754.80x = 249,193,561,699.68
  5. Step 5: Solve for x
    x = 249,193,561,699.68/653,754.80
  6. Step 6: Final answer
    x = 381,172.82

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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.