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Finding the Fourth Proportional to 659,623.40, 989,003.10 and 260,023.40

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Solution

The fourth proportional to 659,623.40, 989,003.10 and 260,023.40 is: 389,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,623.40 : 989,003.10 = 260,023.40 : x
  2. Step 2: Convert to fraction form
    659,623.40/989,003.10 = 260,023.40/x
  3. Step 3: Cross multiply
    659,623.40x = 989,003.10 × 260,023.40
  4. Step 4: Simplify right side
    659,623.40x = 257,163,948,672.54
  5. Step 5: Solve for x
    x = 257,163,948,672.54/659,623.40
  6. Step 6: Final answer
    x = 389,864.81

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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.