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Finding the Fourth Proportional to 656,079.80, 984,119.70 and 419,689.40

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Solution

The fourth proportional to 656,079.80, 984,119.70 and 419,689.40 is: 629,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,079.80 : 984,119.70 = 419,689.40 : x
  2. Step 2: Convert to fraction form
    656,079.80/984,119.70 = 419,689.40/x
  3. Step 3: Cross multiply
    656,079.80x = 984,119.70 × 419,689.40
  4. Step 4: Simplify right side
    656,079.80x = 413,024,606,421.18
  5. Step 5: Solve for x
    x = 413,024,606,421.18/656,079.80
  6. Step 6: Final answer
    x = 629,534.10

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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.