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Finding the Fourth Proportional to 364,524.80, 546,714.30 and 174,984.80

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Solution

The fourth proportional to 364,524.80, 546,714.30 and 174,984.80 is: 262,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,524.80 : 546,714.30 = 174,984.80 : x
  2. Step 2: Convert to fraction form
    364,524.80/546,714.30 = 174,984.80/x
  3. Step 3: Cross multiply
    364,524.80x = 546,714.30 × 174,984.80
  4. Step 4: Simplify right side
    364,524.80x = 95,666,692,442.64
  5. Step 5: Solve for x
    x = 95,666,692,442.64/364,524.80
  6. Step 6: Final answer
    x = 262,442.21

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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.