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Finding the Fourth Proportional to 654,577.20, 982,384.20 and 255,409.20

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Solution

The fourth proportional to 654,577.20, 982,384.20 and 255,409.20 is: 383,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,577.20 : 982,384.20 = 255,409.20 : x
  2. Step 2: Convert to fraction form
    654,577.20/982,384.20 = 255,409.20/x
  3. Step 3: Cross multiply
    654,577.20x = 982,384.20 × 255,409.20
  4. Step 4: Simplify right side
    654,577.20x = 250,909,962,614.64
  5. Step 5: Solve for x
    x = 250,909,962,614.64/654,577.20
  6. Step 6: Final answer
    x = 383,316.07

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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.