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Finding the Fourth Proportional to 253,644.94, 380,496.57 and 148,464.82

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Solution

The fourth proportional to 253,644.94, 380,496.57 and 148,464.82 is: 222,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,644.94 : 380,496.57 = 148,464.82 : x
  2. Step 2: Convert to fraction form
    253,644.94/380,496.57 = 148,464.82/x
  3. Step 3: Cross multiply
    253,644.94x = 380,496.57 × 148,464.82
  4. Step 4: Simplify right side
    253,644.94x = 56,490,354,775.67
  5. Step 5: Solve for x
    x = 56,490,354,775.67/253,644.94
  6. Step 6: Final answer
    x = 222,714.30

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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.