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Finding the Fourth Proportional to 264,578.20, 397,256.10 and 159,602.20

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Solution

The fourth proportional to 264,578.20, 397,256.10 and 159,602.20 is: 239,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,578.20 : 397,256.10 = 159,602.20 : x
  2. Step 2: Convert to fraction form
    264,578.20/397,256.10 = 159,602.20/x
  3. Step 3: Cross multiply
    264,578.20x = 397,256.10 × 159,602.20
  4. Step 4: Simplify right side
    264,578.20x = 63,402,947,523.42
  5. Step 5: Solve for x
    x = 63,402,947,523.42/264,578.20
  6. Step 6: Final answer
    x = 239,637.84

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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.