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Finding the Fourth Proportional to 656,031.80, 984,047.70 and 419,641.40

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Solution

The fourth proportional to 656,031.80, 984,047.70 and 419,641.40 is: 629,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,031.80 : 984,047.70 = 419,641.40 : x
  2. Step 2: Convert to fraction form
    656,031.80/984,047.70 = 419,641.40/x
  3. Step 3: Cross multiply
    656,031.80x = 984,047.70 × 419,641.40
  4. Step 4: Simplify right side
    656,031.80x = 412,947,154,494.78
  5. Step 5: Solve for x
    x = 412,947,154,494.78/656,031.80
  6. Step 6: Final answer
    x = 629,462.10

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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.