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Finding the Fourth Proportional to 410,212.80, 614,656.80 and 232,190.40

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Solution

The fourth proportional to 410,212.80, 614,656.80 and 232,190.40 is: 347,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,212.80 : 614,656.80 = 232,190.40 : x
  2. Step 2: Convert to fraction form
    410,212.80/614,656.80 = 232,190.40/x
  3. Step 3: Cross multiply
    410,212.80x = 614,656.80 × 232,190.40
  4. Step 4: Simplify right side
    410,212.80x = 142,717,408,254.72
  5. Step 5: Solve for x
    x = 142,717,408,254.72/410,212.80
  6. Step 6: Final answer
    x = 347,910.67

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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.