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Finding the Fourth Proportional to 484,493.40, 726,048.90 and 357,139.80

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Solution

The fourth proportional to 484,493.40, 726,048.90 and 357,139.80 is: 535,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,493.40 : 726,048.90 = 357,139.80 : x
  2. Step 2: Convert to fraction form
    484,493.40/726,048.90 = 357,139.80/x
  3. Step 3: Cross multiply
    484,493.40x = 726,048.90 × 357,139.80
  4. Step 4: Simplify right side
    484,493.40x = 259,300,958,936.22
  5. Step 5: Solve for x
    x = 259,300,958,936.22/484,493.40
  6. Step 6: Final answer
    x = 535,200.19

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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.