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Finding the Fourth Proportional to 410,847.40, 616,379.10 and 130,364.20

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Solution

The fourth proportional to 410,847.40, 616,379.10 and 130,364.20 is: 195,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.40 : 616,379.10 = 130,364.20 : x
  2. Step 2: Convert to fraction form
    410,847.40/616,379.10 = 130,364.20/x
  3. Step 3: Cross multiply
    410,847.40x = 616,379.10 × 130,364.20
  4. Step 4: Simplify right side
    410,847.40x = 80,353,768,268.22
  5. Step 5: Solve for x
    x = 80,353,768,268.22/410,847.40
  6. Step 6: Final answer
    x = 195,580.57

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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.