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Finding the Fourth Proportional to 364,524.30, 546,786.45 and 164,851.20

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Solution

The fourth proportional to 364,524.30, 546,786.45 and 164,851.20 is: 247,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,524.30 : 546,786.45 = 164,851.20 : x
  2. Step 2: Convert to fraction form
    364,524.30/546,786.45 = 164,851.20/x
  3. Step 3: Cross multiply
    364,524.30x = 546,786.45 × 164,851.20
  4. Step 4: Simplify right side
    364,524.30x = 90,138,402,426.24
  5. Step 5: Solve for x
    x = 90,138,402,426.24/364,524.30
  6. Step 6: Final answer
    x = 247,276.80

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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.