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Finding the Fourth Proportional to 410,854.20, 616,281.30 and 130,399.80

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Solution

The fourth proportional to 410,854.20, 616,281.30 and 130,399.80 is: 195,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,854.20 : 616,281.30 = 130,399.80 : x
  2. Step 2: Convert to fraction form
    410,854.20/616,281.30 = 130,399.80/x
  3. Step 3: Cross multiply
    410,854.20x = 616,281.30 × 130,399.80
  4. Step 4: Simplify right side
    410,854.20x = 80,362,958,263.74
  5. Step 5: Solve for x
    x = 80,362,958,263.74/410,854.20
  6. Step 6: Final answer
    x = 195,599.70

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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.