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Finding the Fourth Proportional to 431,065.20, 646,597.80 and 164,834.40

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Solution

The fourth proportional to 431,065.20, 646,597.80 and 164,834.40 is: 247,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,065.20 : 646,597.80 = 164,834.40 : x
  2. Step 2: Convert to fraction form
    431,065.20/646,597.80 = 164,834.40/x
  3. Step 3: Cross multiply
    431,065.20x = 646,597.80 × 164,834.40
  4. Step 4: Simplify right side
    431,065.20x = 106,581,560,404.32
  5. Step 5: Solve for x
    x = 106,581,560,404.32/431,065.20
  6. Step 6: Final answer
    x = 247,251.60

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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.