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Finding the Fourth Proportional to 410,113.40, 614,003.70 and 410,113.40

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Solution

The fourth proportional to 410,113.40, 614,003.70 and 410,113.40 is: 614,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.40 : 614,003.70 = 410,113.40 : x
  2. Step 2: Convert to fraction form
    410,113.40/614,003.70 = 410,113.40/x
  3. Step 3: Cross multiply
    410,113.40x = 614,003.70 × 410,113.40
  4. Step 4: Simplify right side
    410,113.40x = 251,811,145,019.58
  5. Step 5: Solve for x
    x = 251,811,145,019.58/410,113.40
  6. Step 6: Final answer
    x = 614,003.70

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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.