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Finding the Fourth Proportional to 656,205.80, 982,340.40 and 389,829.20

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Solution

The fourth proportional to 656,205.80, 982,340.40 and 389,829.20 is: 583,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,205.80 : 982,340.40 = 389,829.20 : x
  2. Step 2: Convert to fraction form
    656,205.80/982,340.40 = 389,829.20/x
  3. Step 3: Cross multiply
    656,205.80x = 982,340.40 × 389,829.20
  4. Step 4: Simplify right side
    656,205.80x = 382,944,972,259.68
  5. Step 5: Solve for x
    x = 382,944,972,259.68/656,205.80
  6. Step 6: Final answer
    x = 583,574.50

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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.