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Finding the Fourth Proportional to 397,322.40, 595,522.80 and 160,509.60

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Solution

The fourth proportional to 397,322.40, 595,522.80 and 160,509.60 is: 240,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,322.40 : 595,522.80 = 160,509.60 : x
  2. Step 2: Convert to fraction form
    397,322.40/595,522.80 = 160,509.60/x
  3. Step 3: Cross multiply
    397,322.40x = 595,522.80 × 160,509.60
  4. Step 4: Simplify right side
    397,322.40x = 95,587,126,418.88
  5. Step 5: Solve for x
    x = 95,587,126,418.88/397,322.40
  6. Step 6: Final answer
    x = 240,578.25

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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.