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Finding the Fourth Proportional to 310,327.80, 465,491.70 and 152,523.60

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Solution

The fourth proportional to 310,327.80, 465,491.70 and 152,523.60 is: 228,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,327.80 : 465,491.70 = 152,523.60 : x
  2. Step 2: Convert to fraction form
    310,327.80/465,491.70 = 152,523.60/x
  3. Step 3: Cross multiply
    310,327.80x = 465,491.70 × 152,523.60
  4. Step 4: Simplify right side
    310,327.80x = 70,998,469,854.12
  5. Step 5: Solve for x
    x = 70,998,469,854.12/310,327.80
  6. Step 6: Final answer
    x = 228,785.40

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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.