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Finding the Fourth Proportional to 410,882.40, 616,323.60 and 130,421.60

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Solution

The fourth proportional to 410,882.40, 616,323.60 and 130,421.60 is: 195,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,882.40 : 616,323.60 = 130,421.60 : x
  2. Step 2: Convert to fraction form
    410,882.40/616,323.60 = 130,421.60/x
  3. Step 3: Cross multiply
    410,882.40x = 616,323.60 × 130,421.60
  4. Step 4: Simplify right side
    410,882.40x = 80,381,910,029.76
  5. Step 5: Solve for x
    x = 80,381,910,029.76/410,882.40
  6. Step 6: Final answer
    x = 195,632.40

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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.