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Finding the Fourth Proportional to 364,455.20, 546,682.80 and 271,143.20

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Solution

The fourth proportional to 364,455.20, 546,682.80 and 271,143.20 is: 406,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,455.20 : 546,682.80 = 271,143.20 : x
  2. Step 2: Convert to fraction form
    364,455.20/546,682.80 = 271,143.20/x
  3. Step 3: Cross multiply
    364,455.20x = 546,682.80 × 271,143.20
  4. Step 4: Simplify right side
    364,455.20x = 148,229,323,776.96
  5. Step 5: Solve for x
    x = 148,229,323,776.96/364,455.20
  6. Step 6: Final answer
    x = 406,714.80

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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.