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Finding the Fourth Proportional to 410,121.40, 614,015.70 and 410,121.40

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Solution

The fourth proportional to 410,121.40, 614,015.70 and 410,121.40 is: 614,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,121.40 : 614,015.70 = 410,121.40 : x
  2. Step 2: Convert to fraction form
    410,121.40/614,015.70 = 410,121.40/x
  3. Step 3: Cross multiply
    410,121.40x = 614,015.70 × 410,121.40
  4. Step 4: Simplify right side
    410,121.40x = 251,820,978,505.98
  5. Step 5: Solve for x
    x = 251,820,978,505.98/410,121.40
  6. Step 6: Final answer
    x = 614,015.70

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1.5x scale

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.