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Finding the Fourth Proportional to 412,935.40, 619,403.10 and 367,834.60

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Solution

The fourth proportional to 412,935.40, 619,403.10 and 367,834.60 is: 551,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,935.40 : 619,403.10 = 367,834.60 : x
  2. Step 2: Convert to fraction form
    412,935.40/619,403.10 = 367,834.60/x
  3. Step 3: Cross multiply
    412,935.40x = 619,403.10 × 367,834.60
  4. Step 4: Simplify right side
    412,935.40x = 227,837,891,527.26
  5. Step 5: Solve for x
    x = 227,837,891,527.26/412,935.40
  6. Step 6: Final answer
    x = 551,751.90

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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.