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Finding the Fourth Proportional to 393,089.40, 589,634.10 and 389,590.20

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Solution

The fourth proportional to 393,089.40, 589,634.10 and 389,590.20 is: 584,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,089.40 : 589,634.10 = 389,590.20 : x
  2. Step 2: Convert to fraction form
    393,089.40/589,634.10 = 389,590.20/x
  3. Step 3: Cross multiply
    393,089.40x = 589,634.10 × 389,590.20
  4. Step 4: Simplify right side
    393,089.40x = 229,715,666,945.82
  5. Step 5: Solve for x
    x = 229,715,666,945.82/393,089.40
  6. Step 6: Final answer
    x = 584,385.30

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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.