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Finding the Fourth Proportional to 409,430.40, 613,562.40 and 301,975.80

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Solution

The fourth proportional to 409,430.40, 613,562.40 and 301,975.80 is: 452,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,430.40 : 613,562.40 = 301,975.80 : x
  2. Step 2: Convert to fraction form
    409,430.40/613,562.40 = 301,975.80/x
  3. Step 3: Cross multiply
    409,430.40x = 613,562.40 × 301,975.80
  4. Step 4: Simplify right side
    409,430.40x = 185,280,996,589.92
  5. Step 5: Solve for x
    x = 185,280,996,589.92/409,430.40
  6. Step 6: Final answer
    x = 452,533.56

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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.